Unit 7 Polynomials Review

Difference of Squares

100

Factor the polynomial

x²-1

(x-1) (x+1)

200

Factor the polynomial

x²-144

(x+12) (x-12)

300

Factor the polynomial

16x²-9 & 100x²-81

(4x-3) (4x+3) & (10x-9) (10x+9)

400

Factor the polynomial in the form (x+#) (x-#)

144x²-225

(12x-15) (12x+15)

500

Factor the polynomial

(81x²-81) & (36x²-1) & (49x²-4)

(9x-9) (9x+9) & (6x-1) (6x+1) & (7x-2) (7x+2)

Factoring GCF/ Special Products

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

2x² - 8

2(x+2)(x-2)

400

Factor:

4p² - 256

4(p+8)(p-8)

500

Factor out the GCF

18n⁴+42n+6n²

6n(3n³+7+n)

Factoring

100

Factor (do not solve for x/ answer in the form (x+#) (x-#):

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

x² - 3x + 4ax - 12a

(x+4a)(x-3)

500

Factor:

n³ - 9n

n(n+3)(n-3)