Polynomials

Simplify Polynomial

100

Simplify. 

(-x+8)(-6x²+x+6)

6x³-49x²+2x+48

200

Simplify. 

(5x-4)(2x²+3x-3)

10x³+7x²-27x+12

300

Simplify.

(2x-5)(4x²-7x+3)

8x³-34x²+41x-15

400

Simplify. 

(3x-2)(x³-2x²+4x-6)

3x⁴-8x³+16x²-26x+12

500

Simplify.

(x²-2)(4x²+3x-7)

4x⁴+3x³-15x²-6x+14

Factor with GCF

100

Factor. 

x³+7x²+12x

x(x+3)(x+4)

200

Factor. 

2x³+14x²+12x

2x(x+1)(x+6)

300

Factor. 

x⁴-9x²

x²(x+3)(x-3)

400

Factor.

x⁴+6x³+8x²

x²(x+4)(x+2)

500

Factor. 

15x³+3x⁴-18x²

3x²(x+6)(x-1)

Factor by Grouping

100

Factor. 

x³-2x²+5x-10

(x-2)(x²+5)

200

Factor. 

8x³-64x²+x-8

(x-8)(8x²+1)

300

Factor. 

12x³+18x²+10x+15

(2x+3)(6x²+5)

400

Factor.

6x⁴-24x³-5x+20

(x-4)(6x³-5)

500

Factor.

2x²+6x³+5x⁷+15x⁸

(3x+1)(x²)(5x⁵+2)

Long Division

100

Divide. 

6x²+7x-20 divided by 2x+5

3x-4

200

Divide. 

15x²+26x+8 divided by 5x+2

3x+4

300

Divide. 

x³+6x²+3x-10 divided by x+2

x²+4x-5

400

Divide. 

-x³-2x²+11x-20 divided by x+5

-x²+3x-4

500

Divide. 

6x³-5x²-13x+7 divided by 2x-1

3x²-x-7

Synthetic Divison

100

Divide. 

2x³-5x²-8x+15 divided by x-3

2x²+x-5

200

Divide.

-2x³+28x²-81x+10 divided by x-10

-2x²+8x-1

300

Divide. 

6x³+27x²-11x+20 divided by x+5

6x²-3x+4

400

Divide.

2x⁴-2x³-9x+9 divided by x-1

2x³-9

500

Divide. 

7x³+88x²+47x-12 divided by x+12

7x²+4x-1