Multiply Polynomial By Monomial. Examples, Practice problems explained step by step. All you have to do is..

Let's multiply the polynomial (3x² + 2) by the monomial 5x .

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

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.

Step 2

Simplify using the formula for multiplying exponents $$ 21x^4 + 28x^3 - 35x$$ .

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.

Step 2

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

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.

Step 2

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

Multiply Polynomial By Monomial