Example 1
Let's multiply the polynomial (3x^{6}+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
This problem is similar to example 1
Step 1Distribute by multiplying the monomial with every term in the polynomial
Simplify using the formula for multiplying exponents 21x^{4}+ 28x^{3}  35x
Distribute by multiplying the monomial with every term in the polynomial
Simplify using the formula for multiplying exponents 45x^{5}− 36x^{12}+108x
Distribute by multiplying the monomial with every term in the polynomial
Simplify using the formula for multiplying exponents 10x^{12} − 45x^{11} + 20x^{4}
Distribute by multiplying the monomial with every term in the polynomial
Simplify using the formula for multiplying exponents 6x^{8} − 18x^{6} − 8x

Related:
 Polynomial Home
 Multiplying Polynomials
 Polynomials Worksheets
 Multiply Polynomials with Monomial Worksheet (printable pdf with answer key on this page's topic)>