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Multiply Polynomial By Monomial

Examples, steps and problems

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.

Problem 1a
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.

Problem 2a
Step 2

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

Problem 3 real
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.

Problem 3a
Step 2

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

Problem 5
Practice problem

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