Factoring Polynomials Completely

Question 1

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

Revolt · Accepted Answer

x + 3

Question 2

Dividend:

Revolt · Accepted Answer

2x3 + 11x2 + 18x + 9

Question 3

Quotient:

Revolt · Accepted Answer

2x2 + 5x + 3

Question 4

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

x2 – 2x – 9

Question 5

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-06-03-20-03-task/mc001-2.jpg

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

P = –10x3 + 40x

Question 7

A student uses the division shown to divide –3x4 + 15x3 – x + 5 by x – 5, and concludes that x – 5 is not a factor of the polynomial. Describe two errors the student made. Is x – 5 a factor? Explain.

Revolt · Accepted Answer

The student made two errors: they used k = -5 instead of k = 5, and they omitted the placeholder 0 for the missing x^2 term. Using k = 5 with coefficients -3, 15, 0, -1, 5 gives a remainder of 0, so x - 5 is a factor.

Question 8

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-06-03-20-03-task/mc002-1.jpg

Question 9

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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