Topic 7 Polynomials

Add/Subtract

100

3x² + 2x - 4 + x² + 3x + 2

What is 4x² + 5x - 2

200

6x² - 3x + 5 - 3x² + 4x³ + 1

What is 4x³ + 3x² - 3x + 6

300

4x² + 6x + 3 - (2x² + 3x - 2) 

What is 2x² + 3x + 5

400

-5x² + 3x - 2 - (-4x² - 2x - 1)

What is -x² + 5x - 1

500

4x² - 2x + 1 - (3x³ + 6x² + 10x + 5)

What is -3x³ - 2x² - 12x - 4

Multiply

100

(x + 3)(x + 4)

What is x² + 7x + 12

200

(2x + 5)(3x + 4)

What is 6x² + 23x + 20

300

(5x - 2)(x + 1)

What is 5x² + 3x - 2

400

(7x - 1)(2x - 5)

What is 14x² - 37x + 5

500

(-8x + 9)(6x - 2)

What is -48x² + 70x - 18

Factor GCF

100

6x - 3

What is 3(x - 1)

200

4x² + 12x

What is 4x(x + 3)

300

5x³ - 25x²

What is 5x²(x - 5)

400

3x⁵ + 7x⁷

What is x⁵(3 + 7x²)

500

-9x³ - 27x⁶

What is -9x³(1 + 3x³)

Factor the Polynomial Level 1

100

x² + 5x + 6

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

200

x² + 11x + 24

What is (x + 3)(x + 8)

300

x² - 2x - 15

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

400

x² + x - 42

What is (x + 7)(x - 6)

500

x² - 8x + 16

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

Factor the Polynomial Level 2

100

3x² + 13x + 4

What is (3x + 1)(x + 4)

200

2x² + 10x + 12

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

300

-2x² + x + 10

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

400

4x² - 12x - 40

What is 4(x - 5)(x + 2)

500

-2x² + 8x - 6

What is -2(x - 3)(x - 1)