Multiplying Polynomials

Monomial times Polynomials

100

x(x+5)

x²+5x

200

-2x(x²-4)

-2x³+8x

300

3x(x²+7x-6)

3x³+21x²-18x

400

x²(-2x²+4x-6)

-2x⁴+4x³-6x²

500

7x³(5x²-4x+7)

35x⁵-28x⁴+49x³

Binomial times Binomials

100

(x+3)(x-4)

x²-x-12

200

(x-5)²

x²-10x+25

300

(2x-4)(x+3)

2x²+2x-12

400

(3x³+6)²

9x⁶+36x³+36

500

(9x²+5x)(-4x²+6)

-36x⁴-20x³+54x²+30x

Binomials times Trinomials

100

(x+3)(x²-4x+5)

x³-x²+7x+15

200

(-x+10)(2x²-3x+4)

-2x³+23x²-34x+40

300

(-2x+4)(3x²+5x-6)

-6x³+2x²+32x-24

400

(x³-4)(2x²-4x+1)

2x⁵-4x⁴+x³-8x²+16x-4

500

(3x³+4x)(x²+5x-6)

3x⁵+15x⁴-14x³+20x²-24x

Polynomial Facts

100

What is the degree of this polynomial?

x²-5x+4

2

200

What name of this polynomial?

4x³+5x²+y

Trinomial

300

What is the leading coefficient of this polynomial?

x⁵+6x³-10x+2x⁸-7x²+9

2

400

List the leading coefficient, the degree, and the name of this polynomial.

78-15x¹⁶

Degree:16

Leading Coefficient: 15

Name: Binomial

500

Put this in descending order. 

x⁵+6x³-10x+2x⁸-7x²+9

2x⁸+x⁵+6x³-7x²-10x+9