FACTORING POLYNOMIALS

Factoring trinomials

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-x-56

(x-8)(x+7)

Factoring Trinomials- harder

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor: 

2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

Factor

5n³ - 20n² + 6n - 24

(5n² + 6) (n - 4)

200

Factor

35r³ - 77r² - 60r + 132

(7r² - 12) (5r - 11)

300

Factor

 84v³ + 36v² - 140v - 60

4 (3v² - 5) (7v + 3)

400

Factor

25n³ - 120-100n² + 30n

5(5n² + 6) (n - 4)

500

Factor

4x⁶ - 8x⁴ - 36x² + 72

4(x² - 2) (x² + 3) (x² - 3)

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:

12a⁵b¹⁴c⁸-2a²b⁶c⁸

2a²b⁶c⁸(6a³b⁸-1)

Miscellaneous

100

Solve for x: 3x-7=11

x=6

200

2x+8=5x-7

x=5

300

Solve the system of equations by using substitution. 3y+2x=32, x=7

y=6

400

What value(s) of x makes the following statement true?

3x²-5=22

x={-3,3}

500

Factor

5x²√30-20x√14

5x√2(x√15-4√7)