Factoring Polynomials

Quadratic method

100

x²-2x-35

What is (x+5)(x-7)?

200

x²+4x-5

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

300

x²-11x+24

What is (x-3)(x-8)?

400

x⁴-6x²-16

What is (x²-8)(x²+2)?

500

x²+4yx-5y²

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

Group Method

100

2x³+8x²-3x-12

What is (x+4)(2x²-3)?

200

x²+4x+5x+20

What is (x+4)(x+5)?

300

3x³+12x²+7x-23

What is (x-4)(3x²+7)?

400

4x²+25x-21

What is (x+7)(4k-3)?

500

10x²-8xy+15xy-12y²

What is (5x-4y)(2x+3y)?

Difference of Cubes

100

x³-64

What is (x-4)(x²+4x+16)?

200

8-x³

What is (2-x)(4+2x+x²)

300

24x³-81

What is 3(2x-3)(4x²+6x-9)?

400

40x³-5y³

What is 5(2x-y)(4x²+2xy+y²)?

500

x⁶-64y⁹

What is (x²-4y³)(x⁴+4x²y³)

Sum of Cubes

100

x³+8

What is (x+2)(x²-2x+4)

200

x³+125

What is (x+5)(x²-5x+25)?

300

8x³+1

What is (2p+1)(4p²-2p+1)?

400

27x³+64y³

What is (3x+4y)(3x²+-3x+4y+4y²)?

500

343x³+64y³

What is (7x+4y)(49x²-28y+16y²)

Random

100

Difference of Cubes: 64y³-125

What is (4y-5)(16y²+20y+25)

200

Grouping Method: 2x²-3x-9

What is (x-3)(2x+3)? 

300

Quadratic: x²+15x+50

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

400

Sum of Cubes: 8x³+27

What is (2x+3)(4x2-6x+9)?

500

What method would you use to solve this problem and what is the answer?: 81x²-36x²

What is Grouping and 9(3x+2y)(3x-2y)?