FACTORING TRINOMIALS

Factoring trinomials a =1

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- y²-6y-7

(y-7)(y+1)

500

Factor into two binomials- x²-13x-30

(x+2)(x-15)

Factoring trinomials a >1

100

Factor : 2c^2-14c-36

2 (c - 9)(t + 2)

200

Factor: 4x^2 + 32x + 64

4 (x + 4) (x + 4)

300

Factor: 6x^2 - 11x + 4

A) (3x + 4)(x + 1)

B) (3x - 4)(x - 1)

C) (3x - 4)(x + 1)

D) (3x + 4)(x - 1)

Choice B (3x - 4)(x - 1)

400

Factor: 5t² + 12t - 9

A) (t - 3)(5t - 3)

B) (t + 3)(5t + 3)

C) (t + 3)(5t - 3)

D) (t - 3)(5t + 3)

C) (t + 3)(5t - 3)

500

Factor: 10x² + 24x +8

A) (x + 5)(5x + 2)

B) 2(x + 5)(5x + 2)

C) 2(x - 5)(5x - 2)

D) (x - 5)(5x - 2)

Choice B - 2(x + 5)(5x + 2)

FIND THE GCF

100

Find the GCF- 3x², 12x

3x

200

Find the GCF- 4x³, 10x²

2x²

300

Find the GCF- 2x⁵, 9x⁴

x⁴

400

Find the GCF- 18x³, 32x²+6x

2x

500

Find the GCF- 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

FACTOR BY 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)

REVIEW

100

Identify the terms and coefficients: 5x + 8

terms:5x and 8 coefficients: 5 and 8

200

A polynomial with exactly 2 terms.

binomial

300

Simplify: (10t^2 - 3t + 9) - (6t^2 - 7t)

4t^2 + 4t + 9

400

Simplify: (-a^2 + 2a - 8) + (2a^2 - 9a + 15)

a^2 - 7a + 7

500

Determine the product of (4x + 4)(5x - 5).

20x^2 - 20