Multiply Polynomial By Monomial

Examples, steps and problems

Example 1

Let's multiply the polynomial (3x6+2x+5) by the monomial (5x)

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

Video Tutorial

on Multiplying Monomials by Polynomials

Practice Problem

Problem 1

Multiply the polynomial (3x³ + 4x² − 5) by the monomial (7x)

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

Multiply the polynomial (5x4− 4x12 + 12) by the monomial (9x)

Step 1

Distribute by multiplying the monomial with every term in the polynomial

Step 2

Simplify using the formula for multiplying exponents 45x5− 36x12+108x

Problem 3

Multiply the polynomial (2x11− 9x10+4x3) by the monomial (5x)

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

Multiply the polynomial (3x7− 9x5 + 4) by the monomial (-2x)

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

Content on this page requires a newer version of Adobe Flash Player.

Get Adobe Flash player


Ultimate Math Solver (Free)

Free Algebra Solver ... type anything in there!