﻿ Multiply Polynomial By Monomial. Examples, Practice problems explained step by step. All you have to do is..

# Multiply Polynomial By Monomial

Examples, steps and problems

##### Example 1

Let's multiply the polynomial (3x2 + 2) by the monomial 5x .

You should be comfortable combining like terms and using the laws of exponents.

### Practice Problem

##### Problem 1

This problem is similar to example 1.

Step 1

Distribute by multiplying the monomial with every term in the polynomial.

Step 2

Simplify using the formula for multiplying exponents 21x4 + 28x3 - 35x.

##### Problem 2
Step 1

Distribute by multiplying the monomial with every term in the polynomial.

Step 2

Simplify using the formula for multiplying exponents 45x5 − 36x13 + 108x.

##### Problem 3
Step 1

Distribute by multiplying the monomial with every term in the polynomial.

Step 2

Simplify using the formula for multiplying exponents 10x12 − 45x11 + 20x4.

##### Problem 4
Step 1

Distribute by multiplying the monomial with every term in the polynomial.

Step 2

Simplify using the formula for multiplying exponents -6x8 + 18x6 − 8x.