Multiply and Divide Polynomials

Monomial x Monomial

100

(2x)(2x) 

4x²

200

(3x²)(5x³)

15x⁵

300

(8x⁴y²)(2x²) 

16x⁶y²

400

(4x³y⁴)(6x⁵y⁶)

24x⁸y¹⁰

500

(9x²y)(-2x³yz⁶)

-18x⁵y²z⁶ 

Monomial x Polynomial

100

2(4x+2)

8x+4

200

3x(5x²+2x)

15x³ + 6x²

300

7x(x²+5x-3)

7x³+35x²-21x

400

-5y³(y²+6y-8)

-5y⁵-30y⁴+40y³

500

-5a²b(3a⁴b³6a²b³)

-15a⁶b⁴-30a⁴b⁴

Binomial x Binomial

100

(X+2)(x+5)

x²+7x+10

200

(x-3)(x-4)

x²-7x+12

300

(3a+b)(a-2b)

3a²-5ab-2b²

400

(x+5)(x-5)

x²-25

500

(7x+3y)(8x-4y)

56x²-4xy-12y²

Synthetic Division

100

x+4÷x-2

x+6

200

2X²+x+2÷x-6

2x+13 R48

300

x³+5x+11x+15÷x+3

x²+2x+5

400

3x³-x²-7x+6÷x+2

3x²-7x+7 R-8 

500

4x³+3x²+x-7÷x-2

4x²+11x+23 R39

Long Division

100

x²+4÷x-1

x+1 R5

200

x³-3x²÷x+4

x²-7x+28 R-122

300

x³+x+1÷x-3

x²+3x+10 R31

400

x⁴+3x²-x+2÷x+2

x³-2x²+7x-15 R32

500

x³+3x²-x+7÷x²+2x

x+1 R-3x+7