REVIEW OF POLYNOMIALS

Factoring trinomials when a=1

100

Factor: x²+10x+25

(x+5)(x+5)

200

Factor: x²-12x+27

(x-9)(x-3)

300

Factor: x² - 121

(x+11)(x-11)

400

Factor: x²-5x+6

(x-3)(x-2)

500

Factor: x² +100

Cannot be factored (+ sign)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)(3x+1)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: 3x+6

3(x+2)

300

Factor: 4ab-8

4(ab-2)

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

Factor: 3x²y²-2xy

xy(3xy-2)

Simplify

100

(5a² -3) + (8a² - 1)

13a² -4

200

(6c² + 3c +9) - (3c - 5)

6c² + 14

300

(6n³ - 5n +2n⁴) + (5n + 2n⁴ -2n³)

4n⁴ +4n³ 

400

(x² + 11xy - 3y²) + (-2x² - xy + 4y²)

-x² + 10xy + y²

500

(8a²b - 6a) - (2a²b - 4b + 19)

6a²b - 6a + 4b - 19

Factor by Grouping

100

Factor: 12x³+ 3x² + 20x + 5

(3x²+5)(4x+1)

200

Factor: 6m³+18m² + 5m + 15

(6m²+5)(m+3)

300

Factor: 15x³+75x² +3x +15

3(5x² +1)(x+5)

400

Factor: 18x³+27x² - 6x - 9

3(3x²-1)(2x+3)

500

Factor: 4k³+2k² - 4k -2

2(k -1)(k +1)(2k +1)