Algebra B: Summative Assessment - Factoring Polynomials

Find the sum.

x² + 3x - 5 +(2x - 5x² + 8)

• 3x² - 2x² +3

• -4x² + 5x + 3

• -4x⁴ + 5x² +3

• 4x² 5x +13

Find the difference.

(3a³ - 6a + 2) - (5a³ + 5a -7)

• -2a³ - 11a + 9

• 2a³ - 1a - 5

• -2a³ - 1a + 9

• 2a³ - 11a - 5

Find the product. (Hint: use F.O.I.L. or the box method.)

(4x - 2) (2x + 3)

• 8x² - 4x - 6

• 8x - 4x - 6

• 8x² + 8x - 6

• 8x² + 8x + 6

Simplify the expression.(Hint: use the distributive property.)

-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

What is the Perimeter?

• 3x - 3 inches

• 6x - 6 inches

• 3x - 6 inches

• 6x - 3 inches

What is the Area?

• 2x² - 3x - 18 inches²

• 2x² + 3x + 18 inches²

• 2x² + 9x - 18 inches²

• 2x² - 9x - 18 inches²

Name the type of polynomial below.
6x² + 14x + 4

• polynomial
• monomial
• trinomial
• binomial

Factor the expression:

5x² + 20

• 5(x + 4)

• 5x(x + 4)

• 5(x² + 4)

• 5x²(x + 4)

Factor by determining the GCF:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor the expression:

4x ²+ 24x

• 4x(x + 6)

• 4x(x+8)

• 4(x + 6)

• not factorable