The factors of x cube -10x square -53x-42

Answers

Answer 1

Answer:

[tex]x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)[/tex]

Step-by-step explanation:

 [tex]x^3 - 10x^2 -53x - 42[/tex]

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

Using trial and error method we will find the first root of the polynomial.

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

Now by long division or by using synthetic division we can find other factors.

Synthetic Division :

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

[tex]x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)[/tex]  ------ ( 1 )

Next further factorize x² - 11x - 42

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

[tex]x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)[/tex]


Related Questions

Please help I’ll give brainliest

Answers

Answer:

81

Step-by-step explanation:

3 exponent 4

[tex] = {3}^{4} [/tex]

= 3 × 3 × 3 × 3

= 81 (Ans)

Use a calculator to find the r-value of these data. Round the value to three
decimal places


Answers

Answer:

-.985

Step-by-step explanation:

-.985 is the answer

PLEASE HELPPPPPP Meeeeeee hurrry

Answers

Answer:  Choice C

1, 3, 6, 8, 10, 12, 13, 13, 16, 18, 19

===========================================================

Explanation:

For each answer choice, there are n = 11 numbers mentioned.

The median will be at slot n/2 = 11/2 = 5.5 = 6, so there are 5 values below the median and 5 values above it. In total, we have 5+1+5 = 11 items overall.

The vertical bar in the box plot represents the median's location. It's at 12, so "12" must be in slot 6 in the answer.

Based on this alone, the answer is between choice A or choice C. These two answers are nearly identical except for one thing: the max for choice A is 20 while the max for choice C is 19.

The answer is choice C because the boxplot shown has the tip of the right whisker at 19, and not 20.

Side note: the data values must be sorted before you can find the median. Luckily, for each answer choice, the values are already sorted for us.

Answer:

It would be Choice C

Step-by-step explanation:

Select the interval where g is negative.
PLSSS HELLPPP!!!

Answers

The interval where g is negative is in the domain of -5 ≤ x < 1

The reason for the above selected interval is as follows;

A function is negative over an interval where the graph of the function is

below the x-axis, and the y-coordinate values are negative, excluding

where the y-value is zero. The interval over which a function is negative is

also  called the negative region

From the given graph, the function, g(x), we have;

At x = 1, y = g(x) = 0

At x = -5, y = g(x) ≈ -7 and increasing to 0

Therefore at x = -5, g(x) ≈ -7, is negative

Tis negative over the interval -5 ≤ x < 1

Therefore;

The interval where g(x) is negative is -5 ≤ x < 1.

Learn more about intervals of functions here;

https://brainly.com/question/8933368

Solve this pls I beg

Answers

Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

What is the first step in solving quadratic equations by finding square roots? a. give the positive and negative answer c. square root both sides to isolate x b. isolate the x squared by using inverse operations d. none of these Please select the best answer from the choices provided A B C D

Answers

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

Please solve with explanation

Answers

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

Question 9 of 10
Which polynomial represents the difference below?
(8x2 +9) - (3x2 + 2x + 5)

Answers

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

LM=24 MN=13 what is KM?​

Answers

Answer:

ans: KM = 576/13

Step-by-step explanation:

break given triangle to two triangle,

use pythagoras theorem to find LN

now, splited triangle are similar to each other so corresponding sides are proportional to each other

What is the area? Bit confused on this one.

Answers

Answer:

x² + 8x + 12

Step-by-step explanation:

see

the length of the entire rectangle = x + 6

breadth of the entire rectangle = x + 2

area of a rectangle = length × breadth

= (x + 6)(x + 2)

= x² + 8x + 12

which is the required polynomial in standard form

Answer:

x^2 + 8x + 12

Step-by-step explanation:

length = x+6

breadth = x+2

ara of rectangle = l*b

=(x+6)(x+2)

=x(x+2) +6(x+2)

=x^2 + 2x + 6x +12

=x^2 + 8x +12

(2a+1) - 4a(2a+1)+4a

Answers

Answer:

2a (3-4a)

Step-by-step explanation:

(2a+1)-4a(2a+1)+4a

2a+1-8a²-1+4a

= 2a+4a-8a²

=6a-8a²

= 2a(3-4a)

Answer:

Step-by-step explanation:

Use distributive property: a*(b+c) = (a*b) + (a*c)

-4a*(2a + 1) = -4a*2a + 1*(-4a)

                  = -8a² - 4a

2a + 1 - 4a(2a + 1) + 4a = 2a + 1 - 8a² - 4a + 4a

                                    = 2a + 1 - 8a²

mary selects a piece of candy at random form a jar that contains four peopermint, five cherry, three butterscotch, and two lemon candies. what is the probability that the candy she selects is not lemon?

Answers

Answer:

6/7 or 85.7 percent

Step-by-step explanation:

First, you will want to add all of the candies together and find the sum

Then you will want to take away the Lemon candies as you are looking for the probability of NOT choosing those,

so at this point, you should have 12 take that 12, and put it over the total number, so 12/14 then either simplify, or switch to a percentage, or both, and there is your answer.

Question from Venn diagram solving... plz solve. Worth 15 points

Answers

Answer:

For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:

Students who play tennis and hockey: 45 - x

Students who play hockey and softball: 60 - x

Students who play only tennis and softball: 39 - x

Students who only play tennis:

251 - 45 + x - 39 +x -x = x + 167

Students who only play hockey:

157 - x - 45 + x - 60 + x = x + 52

Students who only play softball:

111 - x - 60 + x - 39 + x = x + 12

The sum of all of these should be 405:

45-x+60-x+39-x+x+167+x+52+x+12 = 405

Solving for x,

x = 30

Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.

Step-by-step explanation:

Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.

3(x-1)≤ ½(x+1) -6. Topic is Linear inequalities ​

Answers

Answer:

[tex]x\le \:-1[/tex]

Step-by-step explanation:

[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]

[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]

[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]

[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]

[tex]5x\le \:-5[/tex]

[tex]x\le \:-1[/tex]

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ [tex]-\frac{13}{2}[/tex]

This is also true.

Therefore, x ≤ -1.

One of the fastest Times of a recorded for the 50 yard dash is 5.2 seconds the following expression can be used to find how many miles per hour that is what is the missing factor

Answers

Answer:

you need to addmission all number

According to the graph, what is the value of the constant in the equation
below?
A. 0.25
B. 0.5
C. 1
D. 2

Answers

Answer:A

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

i took the test and it showed it was corrected when i got done checking my test score please choose A.


The product of a number, x, and 18 is 113.4.
Which equation and value of x represent this relationship

Answers

113.4-18=95.4

So 95.4+18=113.4

Hope that was useful and best of wishes!!

Answer:

Step-by-step explanation:

x * 18 = 113.4

x = 6.3

Verify the equation below with each of the values listed for t to find a solution. 4 = 3t – 2 A. t = –6 B. t = –2 C. t = -1/2 D. t = 2

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\text{D) }t=2[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\4 = 3t - 2\\-----------\\\rightarrow 3t - 2 = 4\\\\\rightarrow 3t - 2 + 2 = 4 + 2\\\\\rightarrow 3t = 6\\\\\rightarrow\frac{3t = 6 }{3}\\\\\rightarrow \boxed{t = 2}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7
A (0, 2) and B (6,5) are points on the straight line ABCD.
Y
Not drawn
accurately
B (6,5)
(A (0, 2)
0
x
AB = BC = CD
Work out the coordinates of D.
Answer:
(12,8)

Answers

The is 12,8 but it maybe almost is 0,2

Help Guys which choice is the answer show the work that supports the answer :)??:((( i will extra points if ur not sure of the answer plz don’t answer the question ty:)

Answers

Answer:

A

Step-by-step explanation:

area=πr²=π×2²=4π≈4×3.14≈12.56 km²

Answer:

12.56

Step-by-step explanation:

area of circle = pi r^ 2

pi= 22/7

r= 2km

22/7×2×2

22/7×4

22/28

12.56 is ans

The mean of four numbers is 7. Three of the numbers are 5, 7, and 7. What is the fourth number? Explain your reasoning.

Answers

Answer:

9

Step-by-step explanation:

The mean is equal to the sum of all numbers divided by the amount of numbers there are. If we represent the mean as m, sum as s, and number of numbers as n, we can write our equation as

m = s/n

Therefore, as we know the mean (7) and number of numbers (4), we can plug those in to find the sum.

7 = s / 4

Multiply both sides by 4

28 = s

We then have our sum. Because we know 3 numbers, and there are 4 total, there is one number left to figure out. Our current sum is 5+7+7 = 19, and we need a sum of 28. The difference between the sums, equivalent to the fourth number, is 28-19=9.

fina a value of the polynomial 5x-4x ^ { 2 } +3 at
(i) x=0

Answers

5(0)-4(0)^2+3

Answer:
=3

Best of wishes and good luck!!








Which of the following describes point H?

Answers

X axis ; 3
Y axis ; -3

Your answer ; 3, -3

(20 points) thanks so much!!

Answers

Step-by-step explanation:

Let us say x=2 and y=1

Using the formula,

=>((2^2)-(1^2))^2+(2(2)(1))^2=((2^2)+(1^2))^2

=>(4-1)^2+(4)^2=(4+1)^2

=>(3)^2+(4)^2=(5)^2

Which is pythogorian triplet

A ramp 28 ft long rises to a platform. The bottom of the platform is 17 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your
answer to the nearest tenth of a degree.

Answers

pretty sure this one is 52.6, you should download this app called calculator X, it gives you stuff to help answer these questions

Answer:

Step-by-step explanation:

Add the following numbers. -3 + 8 =

Answers

The correct answer is 5

Since the 3 is negative you would technically subtract 8 (positive) by 3

Calculate the length of line segment XY in each triangle.

Answers

Answer:

XY = 8 cm

Step-by-step explanation:

PQ is a midsegment and is half the length of the 3rd side XY , then

XY = 2 × PQ = 2 × 4 = 8 cm

What transformation has taken place on the coordinate grid pleaseee help my final! I'll give rate and heart etc​

Answers

Answer:

Translation across the coordinate plane

Step-by-step explanation:

Here, we want to get the kind of transformation that has occurred to the shape

from the given coordinate diagram, we can see that A shifted from (2,3) to (-3,6)

B shifted from (2,-2) to (-3,1)

and C shifted from (-1,-4) to (-6,-1)

If we look at these, we can observe that there is a change in the x-axis coordinate in each by (-1-(-6) or 2-(-3) = 5 units

and there is a change in the y-axis value by (3-6) = -3 units

so the transformation here can be represented generally as;

(x -5, y+ 3)

With this, we can see that what we have represented is simply a translation across the coordinate plane

I tried subtracting it but it says it’s wrong so what do I do?

Answers

Answer:

70,000 - 20,000= 50,000

Name the marked angle in 2 different ways.

Answers

1) angle RQP

2) angle PQR

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