Factoring Polynomials Review

Greatest Common Factor

100

Find the GCF of

8a^2b   &   6ab^2

2ab

200

Find the GCF of

4x^4   &   24x^3

4x^3

300

Find the GCF of

12x^3y^2    &   42xy^4

6xy^2

400

Find the GCF of

20x^3yz^3   &   35x^7z

5x^3z

500

Find the GCF of

55s^2t^5   &   33s^3t

11s^2t

a = 1

100

Factor the expression:

p^2+7p+10

(p+5) (p+2)

200

Factor the expression:

x^2-8x+12

(x-6) (x-2)

300

Factor the expression:

m^2+m-90

(m-9) (m+10)

400

Factor the expression:

k^2-13k+40

(k-5) (k-8)

500

Factor the expression:

b^2+8b+7

(b+7) (b+1)

a >1

100

Factor the expression:

2n^2+5n+2

(2n+1) (n+2)

200

Factor the expression:

2t^2+5t-63

(2t-9) (t+7)

300

Factor the expression:

3p^2-2p-5

(3p-5) (p+1)

400

Factor the expression:

2v^2+11v+5

(2v+1) (v+5)

500

Factor the expression:

5n^2+19n+12

(5n+4)(n+3)

Factoring Special Products

100

Factor the expression:

x^2-9

(x+3) (x-3)

200

Factor the expression:

x^2+22x+121

(x+11)^2   or   (x+11)(x+11)

300

Factor the expression:

9x^2-25

(3x-5) (3x+5)

400

Factor the expression:

b^2+16b+64

(b+8)^2   or   (b+8) (b+8)

500

Factor the expression:

16p^2-9

(4p+3) (4p-3)

Random

100

Find the GCF of

a^10bx^3   &   a^5bx^12

a^5bx^3

200

Factor the expression:

a^2+11a+18

(a+9) (a+2)

300

Factor the expression:

x^2-15x+50

(x-10) (x-5)

400

Factor the expression:

5x^2-18x+9

(5x-3) (x-3)

500

Factor the expression:

b^2 -36

(b+6) (b-6)