Multiply Polynomial By Monomial

Examples, steps and problems

Video Tutorial

on Multiplying Monomials by Polynomials

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Practice Problem

Problem 1

Multiply the polynomial $$ (3x^3 + 4x^2 - 5)$$ 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 $$ 21x^4 + 28x^3 - 35x$$ .

Problem 2

Multiply the polynomial $$ (5x^4 - 4x^{12} + 12)$$ 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 $$ 45x^5 - 36x^{13} + 108x$$.

Problem 3

Multiply the polynomial $$ (2x^{11}- 9x^{10}+ 4x^3)$$ 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 $$ 10x^{12} - 45x^{11} + 20x^4 $$ .

Problem 4
Practice problem
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