Factoring Review

Trinomials

100

The result of factoring:
x² + 8x + 12

(x + 2)(x + 6)

200

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

300

The result of factoring:
3x² +12x - 15

3(x - 1)(x + 5)

400

The result of factoring:
5x² -21x +18

(x-3)(5x-6)

500

The result of factoring:
4x² +24x +11

(2x+11)(2x+1)

Perfect Square Trinomials

100

The result of factoring:
v² + 6v + 9

(v + 3)²

200

The result of factoring:
1 + 10b + 25b²

(1 + 5b)²

300

The result of factoring:
9y² - 30y + 25

(3y - 5)²

400

The result of factoring:
16z⁴ - 56z² + 49

(4z² - 7)²

500

The result of factoring:

9a² + (3/2)a + (1/16)

(3a + (1/4))²

Difference of Squares

100

The result of factoring:
49 - d²

(7 - d)(7 + d)

200

The result of factoring:
x² - 25

(x - 5)(x + 5)

300

The result of factoring:
15x² - 15

15(x - 1)(x + 1)

400

The result of factoring:
(81/144)x² - 49

((9/12)x - 7)((9/12)x + 7)

500

The result of factoring:
64x⁴y² - (196/9)

4(4x²y + 3)(4x²y - 3)

Sum and Difference of Cubes

100

The result of factoring:
x³ + 8

(x+2)(x²-2x+4)

200

The result of factoring:
8x³ − 27

(2x − 3)(4x² + 6x + 9)

300

The result of factoring:
27x³ − 125

(3x − 5)(9x² + 15x + 25)

400

The result of factoring:
125x³ + 216y³

(5x + 6y)(25x² − 30xy + 36y²)

500

The result of factoring:
343a³ - (8/125)c³

(7a - (2/5)c)(14a² + (14/5)ac + (4/25)c²)

Quadratics

100

The result of factoring: 16x² + t²

Cannot factor

200

Find the zeros of the equation:
z² - 16z + 61 = 2z - 20

z = 9, z = 9

300

The result of factoring:
9y² - 69y - 50

(3y - 2)(3y + 25)

400

Use Desmos to find the zeros of the function:
y = 8x - x²

x = 0, x = 8

500

Use Desmos to find the zeros of the function:
y = 5 + 3x² - 6x

no real zeros