Chapter 8 Review

Multiplying Polynomials

100

The product of: 7x²(x - 5y)

What is: 7x³ - 35x²y

200

The product of: 8xy²(3x - 7y)

What is: 24x²y² - 56xy³

300

The product of: (3x - 1)(5x + 6)

What is: 15x² + 13x - 6

400

The product of: (3x - 2)(5x + 1)

What is: 15x² - 7x - 2

500

The product of: (x + 2y)(2x + 7y)

What is: 2x² + 11xy + 14y²

Special Products

100

The product of: (6x + 1)(6x - 1)

What is: 36x² - 1

200

The product of: (5x - 1)²

What is: 25x² - 10x + 1

300

The product of: (3x + 6)²

What is: 9x² + 36x + 36

400

The product of: (6x + 8y)(6x - 8y)

What is: 36x² - 64y²

500

The product of: (7x - 5y)²

What is: 49x² - 70xy + 25y²

Common Factor

100

The GCF factored out of: -50 + 80x

What is: 10(-5 + 8x)

200

The GCF factored out of: 18x³ + 45x²

What is: 9x²(2x + 5)

300

The GCF factored out of: -n⁶ + 4n² + 9n 

What is: n(-n⁵ + 4n + 9)

400

The GCF factored out of: 32x⁴ - 20x² + 32x 

What is: 4x(8x³ - 5x + 8)

500

The GCF factored out of: 6x² + 6x³ - 9x⁵ - 15x⁴

What is: 3x²(2 + 2x - 3x³ - 5x²)

Factoring Polynomials

100

The complete factoring of: x² + 8x

What is: x(x + 8)

200

The complete factoring of: x² + 7x - 18

What is: (x + 9)(x - 2)

300

The complete factoring of: 4x² - 12x - 112

What is: 4(x - 7)(x + 4)

400

The complete factoring of: 5x² + 27x - 18

What is: (5x - 3)(x + 6)

500

The complete factoring of: 60x² + 6x - 12

What is: 6(5x - 2)(2x + 1)

Special Factors

100

The complete factoring of: 9x² - 6x + 1

What is: (3x - 1)²

200

The complete factoring of: x² - 16

What is (x + 4)(x - 4)

300

The complete factoring of: 4x² - 32x + 64

What is: 4(x - 4)²

400

The complete factoring of: 2x² - 2

What is: 2(x + 1)(x - 1)

500

The complete factoring of: 4x² - 25y²

What is: (2x + 5y)(2x - 5y)