Factoring Polynomials Completely — Unit test

Question 1

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

Revolt · Accepted Answer

(x – 2) and (10x + 7)

Question 2

What is the product?

Revolt · Accepted Answer

2 x squared + 5 x minus 3

Question 3

Which product of prime polynomials is equivalent to 4x5 – 6x4 + 4x3 – 6x2?

Revolt · Accepted Answer

2x2(x2 + 1)(2x – 3)

Question 4

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)

Revolt · Accepted Answer

Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).

Question 5

Armando used algebra tiles to represent the product .

Revolt · Accepted Answer

Some of the products do not show the correct powers of x.

Question 6

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

Revolt · Accepted Answer

33x + 390

Question 7

Which is the completely factored form of 18x4 – 42x3 + 24x2?

Revolt · Accepted Answer

6x2(3x – 4)(x – 1)

Factoring Polynomials Completely — Unit test Answers

More from this Course

TRY EDGENUITY HACKS