REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²+12x+27

(x+9)(x+3)

300

Factor into two binomials: x²-12x+27

(x-9)(x-3)

400

Factor into two binomials: x^2-5x+6

(x-3)(x-2)

500

Factor into two binomials: x²+2x-24

(x+6)(x-4)

What is the GCF?

100

What is the GCF?  36 and 15

3

200

What is the GCF?  7x⁵ + 14x³

7x³

300

What is the GCF?  12x⁵ - 4x³ + 18x²

2x²

400

What is the GCF?  16x⁵ + 8x⁴ - 20x

4x

500

What is the GCF?  21x⁵ + 15x³ + 33x⁴

3x³

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor:  12x⁴ + 6x³ + 18x²

6x² (2x² + x + 3)

300

Factor:  24x⁴ + 16x² - 32x⁵

8x² ( 3x² + 2 - 4x³)

400

Factor:  15x⁵ + 25x³ - 20x

5x (3x⁴ + 5x² - 4)

500

Factor:  2x³y⁴ + 14x⁴y²z

2x³y² (y² + 7xz)

Mixed Review

100

Simplify:  4y + 8y² - 10 + 23y²

31y² + 4y - 10

(can be in a different order)

200

Factor:  12n⁴ + 8n³ + 6n

2n(6n³+4n²+3)

You must put the GCF of 2n in your answer.

300

Simplify:  (4x² + 7x - 8) - (-4x² - 16)

8x² + 7x + 8

400

Factor:  x² + 9x + 18

(x + 6)(x + 3)

500

To find the area of a rectangle you multiply the length by the width.  Find the area when the length is (4x + 8) and the width is (2x + 3).

8x² + 28x + 24