Factoring Polynomials Completely

Question 1

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. Divisor:

Revolt · Accepted Answer

D: x + 3

Question 2

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x + 4 and volume x3 + 2x2 – 17x – 36.

Revolt · Accepted Answer

C: x2 – 2x – 9

Question 3

Find the quotient.(2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)

Revolt · Accepted Answer

B:

Question 4

Select all of the factors of x3 + 5x2 + 2x – 8.

Revolt · Accepted Answer

C: x + 4; D: x – 1; F: x + 2

Question 5

Select all of the roots of x3 + 2x2 – 16x– 32.

Revolt · Accepted Answer

B: –2; C: –4; E: 4

Question 6

The price received for a bicycle is given by the equation b = 100 – 10x2, where x is the number of bicycles produced, in millions.It costs the company $60 to make each bicycle.What is the profit function for the company?

Revolt · Accepted Answer

B: P = –10x3 + 40x

Question 7

Question 7

Revolt · Accepted Answer

The student made two main errors in the synthetic division setup. First, they used -5 instead of 5 as the value for k (the divisor should be 5 since the factor is x - 5). Second, they did not use a placeholder zero for the missing x^2 term in the polynomial. If the division is performed correctly, the remainder is 0, which means x - 5 is indeed a factor of the polynomial.

Question 8

Dividend:

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A: 2x3 + 11x2 + 18x + 9

Question 9

Find the quotient.(5x4 – 3x2 + 4) ÷ (x + 1)

Revolt · Accepted Answer

A:

Question 10

The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth. million bicycles

Revolt · Accepted Answer

1.3

Factoring Polynomials Completely Answers

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