Review: Factoring & Solving by Factoring

Factor GCF

100

Factor 2a + 8

2(a + 4)

200

Factor 18x - 6

6(3x - 1)

300

Factor y² + 3y

y(y + 3)

400

Factor -15k² + 5k

-5k (3k - 1)

500

Factor -18n³ + 9n² - 6n

-3n (6n² - 3n + 2)

Factor Trinomials a=1

100

Factor a² + 6a + 5

(a + 5) (a + 1)

200

Factor x² + 4x - 12

(x - 2) (x + 6)

300

Factor y² - 5y - 24

(y - 8) (y + 3)

400

Factor k² - k - 12

(k - 4) (k + 3)

500

Factor n² - 11n + 28

(n - 7) (n - 4)

Factor Trinomials a≠1

100

2a² + 5a + 2

(2a + 1) (a + 2)

200

Factor 3x² + 11x - 4

(3x - 1) (x + 4)

300

Factor 2y² - 13y + 15

(2y - 3) (y - 5)

400

Factor 12k² + k - 1

(3k + 1) (4k - 1)

500

Factor completely: 2a² - 22a + 20

2 (a - 10) (a - 1)

Difference of Squares/ Perfect Square Trinomials

100

Factor a + 4a + 4

Hint: You can also use Product/Sum Method for this!

(a + 2)²

200

Factor x² - 81

(x + 9) (x - 9)

300

Factor y² - 8y + 16

Hint: You can also use Product/Sum Method for this!

(y - 4)²

400

Factor 64k² - 1

(8k + 1) (8k - 1)

500

Factor 4n² - 28n + 49

(2n - 7)²

Solve Quadratic Equation By Factoring

100

Factor & Solve: x² - 5x - 14 = 0

Factored Form: (x - 7) (x+2) = 0

Final Answer: x = 7 , x = -2

200

Factor & Solve: x² + 2x = 8

Factored Form: (x + 4) (x - 2) = 0

Final Answer: x = - 4 , x = 2

300

Factor & Solve: 5y² - 20 = 0

Factored Form: 5 (y² - 4) = 0 (Diff. of Squares)

5(y + 2) (y - 2) = 0

Final Answer: y = - 2, y = 2

400

Factor & Solve: 8k² - 24k + 18

Factored Form: 2 (2k - 3)² = 0

Final Answer: k = 3/2 (or k = 1.5)

500

Factor & Solve: - 2x² + 14x - 24 = 0

Factored Form: - 2 (x² - 7x +12) = 0

----> -2 (x - 4) (x - 3) = 0

Final Answer: x = 4, x = 3