Chapter 8 Review

Add/Subtract Polynomials

100

(x² + 5x - 7) + (4x² + 7x + 3)

What is: 5x² + 12x - 4

200

(-n⁶ + 4n² + 9n)+(5n⁶ + 3n² + 5n)

What is: 4n⁶ + 7n² + 14n

300

(a² + 4a + 17) - (4a² + 5a -13)

What is: -3a² - a + 30

400

(6x³ - 9x⁵ - 15x⁴) - (-3x³ + 4x⁵ -12x⁴)

What is: 9x³ - 13x⁵ - 3x⁴

500

(-5x⁶ - 6x⁴ - 12x) - (16x⁴ - 5x - 12x⁶)

What is: 7x⁶ - 22x⁴ - 7x

Multiplying Polynomials

100

The product of: 5x²(x - 7)

What is: 5x³ - 35x²

200

The product of: 7x(5x² + 6x)

What is: 35x³ + 42x²

300

The product of: -5x⁴(3x⁵ - 2x³)

What is: -15x⁹ + 10x⁷

400

The product of: 8xy²(3x - 7y)

What is: 24x²y² - 56xy³

500

The product of: 4xy²(3x²y - 5x + 8y)

What is: 12x³y³ - 20x²y² + 32xy³

Multiplying Binomials

100

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

What is: 36x² - 1

200

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

What is: 36x² - 64

300

The product of: (-9x +5)(4x - 6)

What is: -36x² + 74x - 30

400

The product of: (7x - 5y)²

What is: 49x² - 70xy + 25y²

500

The product of: (5x - 1)(6x² - 4x + 7)

What is: 30x³ - 26x² + 39x - 6

Factoring Polynomials a=1

100

The factors of: x² + 8x + 12

What is: (x + 6)(x + 2)

200

The factors of: x² + 7x - 18

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

300

The factors of: x² + 5x - 104

What is: (x + 13)(x - 8)

400

The factors of: x² - 16

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

500

The factors of: x² - 36x - 117

What is: (x - 39)(x + 3)

Factoring Polynomials a>1

100

The complete factoring of: 2x² - x - 10

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

200

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

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

300

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

What is: (3x - 1)²

400

The complete factoring of: 20x² - 74x + 56

What is: (4x - 7)(6x - 8)

500

The complete factoring of: 14x² + 79x - 78

What is: (7x - 6)(2x + 13)