RBQE - Multiply Polynomials (Lesson)

Multiply Polynomials

When you multiply two like expressions keep the base and add the exponents.

Examples

1. $LaTeX: x^4\cdot x^2=x^6$ $x^4\cdot x^2=x^6$

2. $LaTeX: 4b^2\cdot2b^7=8b^9$ $4b^2\cdot2b^7=8b^9$

Multiplying Monomials Practice

Try these problems!

$LaTeX: \left(3x^2\right)\left(4x^4\right)$ $\left(3x^2\right)\left(4x^4\right)$
$LaTeX: \left(4x^4\right)\left(5x^5\right)$ $\left(4x^4\right)\left(5x^5\right)$
$LaTeX: \left(x^2y^2\right)\left(x^3y\right)$ $\left(x^2y^2\right)\left(x^3y\right)$
$LaTeX: \left(-2x^2y\right)\left(3x^8y^4\right)$ $\left(-2x^2y\right)\left(3x^8y^4\right)$

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

Now, let us use the distributive property to multiply monomials and polynomials. Watch this video to help!

A common mistake in algebra is to distribute an exponent over an addition or subtraction symbol. Be sure you always write the binomials twice and FOIL

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