LT4.2abc and 4.3ab Review

Factoring trinomials

100

Factor into two binomials:

x²+8x+12

(x+6)(x+2)

200

Factor into two binomials:

m²-11m+18

(m-9)(m-2)

300

Factor into two binomials:

x²+5x-24

(x+8)(x-3)

400

Factor into two binomials:

2x² - 26x - 60

2(x+2)(x-15)

500

Factor into two binomials:

x⁴ - 2x²k - 8k²

(x² - 4k)(x² + 2k)

Factoring by Grouping

100

Factor by Grouping:

x² + 1x + 5x + 5

(x+5)(x+1)

200

Factor into two binomials:

x²(x - 4) + 3(x - 4)

(x² + 3)(x - 4)

300

Factor by Grouping:

6n³ + 3n² + 8n + 4

(3n² + 4)(2n + 1)

400

Factor by Grouping:

x² - 36x + 2x - 72

(x + 2)(x - 36)

500

Factor by Grouping:

2x³ - x² - 10x + 5

(x² - 5)(2x - 1)

Solving Quadratics

100

Find the solutions using the Zero Product Property

(x+2)(x-1)=0

x=-2,1

200

Find the solutions using the Zero Product Property

(5x+10)(3x-5)=0

x=-2,5/3

300

Find the solutions using the Zero Product Property

x²-x-56=0

x=8,-7

400

Find the solutions using the Zero Product Property

x²-11x=-30

x=5,6

500

Find the solutions using the Zero Product Property

3x²+3x = 36

x= -4, 3

FACTOR GCF

100

Factor by GCF:

14n²+10n

2n(7n+5)

200

Factor by GCF:

18x³-6x

6x(3x²-1)

300

Factor by GCF:

8-4a²

4(2-a²)

400

Factor by GCF:

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF:

10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Random

100

What sport does Ms. Mac play?

dodgeball

200

When is there no solution to a quadratic equation?

When there is a negative expression under a square root.

300

Factor the binomial:

4x² - 81

(2x + 9)(2x - 9)

400

How many years has Ms. Mac been teaching?

15!

500

Recite the quadratic formula (verbally) from memory!

x equals negative b plus or minus the square root of b squared minus 4ac all over 2a