Polynomial Multiplication Review!

Vocab

100

What is a monomial?

A monomial is something consisting of only a single term. 

200

A monomial multiplied by a binomial creates what?

A binomial. 

300

How many terms are in this (5x²+3x+2), and what is it classified as?

3 terms

A 2nd degree trinomial

400

What do the letters F.O.I.L stand for?

First. Outer. Inner. Last.

500

What is the end product of x(e+k) by using the distributive property? 

xe+xk

Monomial x Monomial

100

(x²)*(x)

x³

200

(2x)*(3x⁴)

6x⁵

300

(5xy)*(-2yx)

-10x²y²

400

(6z³k²)*(3k³z³)

18z⁶k⁵

500

(10x⁵ky²)*(3k²y⁴)

(30x⁵k³y⁶)

Monomial x Polynomial

100

5(3x+2)

15x+10

200

7x(2x²+3)

14x³+21x

300

x⁵y(5x²y²+3)

5x⁷y³+3x⁵y

400

(5x²-y)xy

5x³y-xy²

500

(5x³z³+5x²z+xz)2z³

10x³z⁶+10x²z⁴+2xz⁴

Binomial x Binomial

100

(x+2)(x+3)

x²+5x+6

200

(2x-3)(x-3)

2x²-9x+9

300

(10x-x)(x³-2)

9x⁴-18x

400

(x⁴-5)(3+x²)

x⁶+3x⁴-5x²-15

500

(x²-x)(x⁶-x⁴)

x⁸-x⁷-x⁶+x⁵

Polynomial x Polynomial

100

(2x-3)(2x²+3x+6)

4x³+3x-18

200

(7k − 3)(k² − 2k + 7)

7k³-17k²+55k-21

300

(6n² − 6n − 5)(7n² + 6n − 5)

42n⁴-6n³-101n²+25

400

(3x³+2x²+x)(3x+2x²+x³)

3x⁶+8x⁵+14x⁴+8x³+3x²

500

(m² − 7m − 6)(7m² − 3m − 7)

7m⁴-52m³-28m²+67m+42