Factoring Quadratic Expressions

Factor

100

9x +36

9(x+4)

200

d²+12d

d(d+12)

300

4x²+10x

2x(2x+5)

400

Factor 3x²+12x

3x(x+4)

500

Factor 18x²+32x+6x

2x(9x+19)

Factoring Quadratics Trinomial

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

x² - 14x + 49

(x-7)(x-7)

400

Factor x²-13x-30

(x+2)(x-15)

500

a² - 10a + 25

(a - 5) (a - 5)

Factor Difference of Perfect Squares

100

x² - 9

(x + 3)(x - 3)

200

r² - 36

(r +6)(r-6)

300

4x²-9

(2x-3)(2x+3)

400

9x²-49

(3x-7)(3x+7)

500

1-x²

(1-x)(1+x)

What is the highest common factor (HCF)?

100

6 & 8

2

200

5 & 10

5

300

18 & 30

6

400

30 & 45

15

500

8 & 12 & 20

4