Multiply Polynomial By Monomial

Examples, steps and problems

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 $$21x^4 + 28x^3 - 35x$$ .

Problem 2
Step 1

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

Step 2

Simplify using the formula for multiplying exponents $$45x^5 - 36x^{13} + 108x$$.

Problem 3
Step 1

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

Step 2

Simplify using the formula for multiplying exponents $$10x^{12} - 45x^{11} + 20x^4$$ .