Factoring Polynomials: Difference of Squares — Unit test

Question 1

Which is equivalent to , and what type of special product is it?

Revolt · Accepted Answer

; a perfect square trinomial

Question 2

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

Revolt · Accepted Answer

x2 and −2

Question 3

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

Revolt · Accepted Answer

Omar should factor out a negative from one of the groups so the binomials will be the same.

Question 4

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

Revolt · Accepted Answer

length = (x − 8) units and width = (x − 9) units

Question 5

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

Revolt · Accepted Answer

It has 4 terms and a degree of 7.

Question 6

Which diagram represents the factors of m2 – 10m + 16 ?

Revolt · Accepted Answer

A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.

Factoring Polynomials: Difference of Squares — Unit test Answers

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