Factoring & Dividing Polynomials

Factoring Binomials

100

2x + 8

2(x + 4)

200

66x + 11

11(6x + 1)

300

12x² - 16x

4x(3x-4)

400

16x³ - 2x

2x(8x² - 1)

500

28x⁵ - 7x²

7x²(4x³ - 1)

Factoring Trinomials

100

x² - 10x + 24

(x - 4)(x - 6)

200

x² + 2x - 35

(x - 5)(x + 7)

300

x² - 15x + 56

(x-7)(x-8)

400

x² -14x + 48

(x - 6)(x - 8)

500

x² - 9x - 36

(x - 12)(x + 3)

Factoring with a Leading Coefficient

100

5x² + 19x + 12

(5x + 4)(x + 3)

200

2v² +11v + 5

(2v + 1)(v + 5)

300

2n² +3n - 9

(2n - 3)(n + 3)

400

3x² - 8x + 4

(3n - 2)(n - 2)

500

7x² + 53x + 28

(7a + 4)(a + 7)

Dividing Monomials

100

(6x - 15) ÷ 3x

2 - 5/x

200

(16x + 28) ÷ 4x

4 + 7/x

300

(12x³ - 6x² + 15) ÷ 6x

2x² x + 5/3x

400

(4x⁶ + 3x⁴ - 2x²) ÷ 2x

2x⁵ + 3x³/2 - x

500

(8m²p² + 4mp - 8p) ÷ p

8m²p + 4m - 8