Algebra Unit 7 Polynomials Review

Which expression is equivalent to 64 − 9x²?

• (32)² − (3x)²

• (32)² + (−3x)²

• (8)² − (3x)²

• (8)² + (−3x)²

Tags

CCSS.HSA.APR.C.4

The polynomial 24x³ − 54x² + 44x − 99 is factored by grouping.

• 6x + 11

• 6x − 11

• 6x² + 11

• 6x² − 11

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?

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

• length = (x + 9) units and width = (x + 8) units

• length = (x − 6) units and width = (x − 12) units

• length = (x + 12) units and width = (x + 6) units

Which polynomial is prime?

• x² + x + 1

• x² – x – 2

• x² – 12x + 11

• x² + 2x – 8

Profit is the difference between revenue and cost. The revenue is modeled by the polynomial 2x³ + 30x – 130. The cost is modeled by 2x³ – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?

• 27x – 650

• 27x + 390

• 33x – 650

• 33x + 390

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)

Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?

• Omar should realize that his work shows that the polynomial is prime.

• Omar should go back and regroup the terms in Step 1 as (3x³ – 15x²) – (4x + 20).

• In Step 2, Omar should factor only out of the first expression.

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

• a = -6, 0, 5

• a = 6, 0, -5

• a = 6, -5

• a = -6, 5

Tags

CCSS.HSF-IF.C.7C

• a = -2, 6

• x = 2, -6

• x = 2, 0, -6

• x = -2, 0, 6

Tags

CCSS.HSF-IF.C.7C