Chapter 8 Review

Add/Subtract Polynomials

100

(x² + 5x - 7) + (4x² + 7x + 3)

What is: 5x² + 12x - 4

200

(x² + 3x - 6)+(2x² - 4x + 2)

What is: 3x² - x - 4

300

(a² + 4a + 17) - (4a² + 5a -13)

What is: -3a² - a + 30

400

(12x² + 7x - 15) - (4x² + 4x + 12)

What is: 8x² + 3x - 27

500

(-5x² - x + 12) - (-7x² + 5x - 3)

What is: 2x² - 6x + 15

Multiplying Polynomials

100

The product of: 5x(x - 7)

What is: 5x² - 35x

200

The product of: 7x(5x + 6)

What is: 35x² + 42x

300

The product of: -x(3x - 2)

What is: -3x^{2 + 2x}

400

The product of: 4x(-2x+5)

What is: -8x² + 20

500

The product of: 3x²(-3x+5)

What is: -9x³ + 15x²

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: (x-8)²

What is: x² - 16x + 64

400

The product of: (5x-3)(x+7)

What is: 5x² + 32x - 21

500

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

What is: 30x³ - 26x² + 39x - 7

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 - 16

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

400

The factors of: x² - 2x - 15

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

500

The factors of: x² - 16x + 64

What is: (x - 8)²

Factoring Polynomials a>1

100

The complete factoring of: 2x² - x - 10

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

200

The complete factoring of: 2x² + 13x + 15

What is: (2x + 3)(x + 5)

300

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

What is: (3x - 1)²

400

The complete factoring of: 3x² + 10x + 8

What is: (3x + 4)(x + 2)

500

The complete factoring of: 4x² + 20x +25

What is: (2x + 5)²