Factoring Review

Which Type of Problem?

100

x²-25

Type 3: Difference of Squares

200

10x²+5xz-14xy-7yz

Type 4 problem: Factor by Grouping

300

20x⁵+30x³+40x²

Type 1 Problem: Greatest Common Factor

400

4x²+20x+12

Type 1 Problem: Greatest Common Factor

500

x⁴-1

Type 3 Problem: Difference of Squares

Type 1: GCF

100

2x⁵+4x⁴+6x³

2x³(x²+2x+3)

200

5x⁵+25x³+20x²

5x²(x³+5x+4)

300

16x⁷-24x⁵-28x⁴

4x⁴(4x³-6x-7)

400

6x²y-30xy²-12y²

6y(x²-5xy-2y)

500

8x³y³-4x²y⁴-16xy²

4xy²(2x²y-xy²-4)

Type 2: Quadratics

100

x²+8x+15

What is (x+3)(x+5)?

200

2x²-3x-5

What is (2x-5)(x+1)?

300

5x²-12x+4

What is (5x-2)(x-2)?

400

10x²+29x+10

What is (5x+2)(2x+5)?

500

3x²-32x-91

What is (3x+7)(x-13)?

Type 3: Difference of Squares

100

x²-9

What is (x+3)(x-3)?

200

4x²-64

What is (2x+8)(2x-8)?

300

81x²-16y²

What is (9x+4y)(9x-4y)?

400

100-25x²

What is (10+5x)(10-5x)?

500

256x²-169

What is (16x+13)(16x-13)?

Type 4: Factor by Grouping

100

10xy-2x+5y-1

What is (2x+1)(5y-1)?

200

6x³+10x²+3x+5

What is (3x+5)(2x²+1)?

300

6x⁶+24x⁴-11x²-44

What is (6x⁴-11)(x²+4)?

400

4x²-3yz+2xz-6xy

What is (2x-3y)(2x+z)?

500

ab+bd-ac-cd

What is (a+d)(b-c)?