FACTORING POLYNOMIALS

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 : 2c²-14c-36

2 (c - 9)(t + 2)

200

Factor: 4x² + 32x + 64

4 (x + 4) (x + 4)

300

Factor: 6x² - 11x + 4

(3x - 4)(x - 1)

400

Factor: 5t² + 12t - 9

(t + 3)(5t - 3)

500

Factor: 10x² + 24x +8

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(5a-3b²)

Random

100

Name a Polynomial with exactly two terms

BINOMIAL

200

FOIL Stands for:

First, Outer, Inner, Last

300

Find the Product 

(6x² - 4y)(6x² + 4y)

36x⁴ - 16y²

400

Factor x² + 2x - 5

1 or PRIME

500

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Wanda Pereira OF COURSE!! ja, ja..

Special Factors

100

Factor x³ - 64

(x - 4)(x² + 4x + 16)

200

List 4 Special Factors mentioned in class.

Difference of Squares

Perfect Square Trinomials

Difference of Cubes

Sum of Cubes

300

Factor 25x² - 16y⁴

(5x + 4y²)(5x - 4y²)

400

Factor 9x² - 12xy + 4y²

(3x + 2y)²

500

Factor 2a⁶ + 16b⁹

2(a²+2b³)(a⁴-2a²b³+4b⁶)

Mixed

100

Describe the middle term in a PST

Middle term in a PST is Twice the product of the root of the first and last term.

200

List the first 10 perfect squares 

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

300

List the first 5 perfect cubes

1, 8, 27, 64, 125

400

Factor: 3x³ + 2x² +6x + 4

(x2 + 2)(3x + 2)

500

Factor 3y⁴ + 9y² - 6y³ - 18y

3y (y - 2)(y² + 3)