Chapter 6 Factoring and Solving Quadratics

Factoring when
a is 1

Factoring when
a is not 1

Factoring Binomials

4 Term Polynomials

Solving Quadratics

100

To factor the trinomial x²+8x+16 you find two numbers that add to 8 but multiply to this...

What is 16?

100

The result of factoring:
3x²+ 20x + 12

What is
(3x+2)(x+6)?

100

The result of factoring:
81x²- 49

What is
(9x - 7)(9x + 7)?

100

The results of factoring:

x³ - x² - 3x + 3

(x² - 3)(x - 1)

100

Solve the following quadratic equation by factoring:

x² - 4 = 0

X= 2 and -2

200

The result of factoring:
x²+ 8x + 12

What is
(x + 2)(x + 6)?

200

The result of factoring:
3x² - 19x - 14

What is
(3x + 2)(x - 7)?

200

The result of factoring:
2x²- 200

What is

2(x - 10)(x + 10)?

200

The result of factoring:

x³+ 2x²- 5x - 10

(x²- 5)(x + 2)

200

Solve the following quadratic equation by factoring.

b² - 8b = 20

X= 10 and -2

300

The result of factoring:
x²- 6x + 8

What is
(x - 4)(x - 2)?

300

The result of factoring:
4x² + 24x + 32

What is
4(x + 2)(x + 4)?

300

The result of factoring:
8x³ + 64

8(x+2)(x²-2x+4)

300

The result of factoring:

8x²+ 12x + 2xy + 3y

(4x + y)(2x + 3)

300

Solve the following quadratic equation by factoring:

(k - 3)(5k + 1) = 0

k= 3 and -1/5

400

The result of factoring:
x²- 10x - 24

What is
(x - 12)(x + 2)?

400

The results of factoring:
8x² + 18x + 9

What is
(4x + 3)(2x + 3)?

400

The result of factoring:
125x³ + 216

(5x + 6)(25x² − 30x + 36)

400

The results of factoring:

16x³+ 8x²- 6x - 3

(8x²- 3)(2x + 1)

400

Solve the following quadratic equation by factoring:

5n² + 41n - 12 = -4 + 2n

n= 1/5 and -8

500

The result of factoring:
x²+ 4x + 4

What is
(x + 2)²?

500

The results of factoring:
2x² -13x - 7

What is
(2x+1)(x-7)?

500

The result of factoring completely:

2x⁴-162

2(x²+9)(x+3)(x-3)

500

The results of factoring:

12x²+ 28xy + 3x + 7y

(3x + 7y)(4x + 1)

500

Solve the following quadratic equation by factoring:

-2m² - 60m +72 = -8m² - 3m

m= 3/2 and 8