Practice Polynomial Multiplication in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Multiplying polynomials by distributing every term in one polynomial to every term in the other, then combining like terms.
Each term in the first polynomial must 'shake hands' with every term in the second. For two binomials like , the FOIL method (First, Outer, Inner, Last) organizes the four handshakes: .
Showing a random 20 of 50 problems.
Example 1
mediumMultiply .
Example 2
easyMultiply .
Example 3
challengeIf , find and .
Example 4
easyDistribute .
Example 5
easyExpand .
Example 6
hardA box has length , width , and height . Express the volume as an expanded polynomial.
Example 7
mediumMultiply .
Example 8
easyMultiply using FOIL.
Example 9
mediumA square has side length . Express its area as an expanded polynomial.
Example 10
challengeExpand using polynomial multiplication.
Example 11
mediumFind the coefficient of in the expansion of .
Example 12
mediumFind the constant term of .
Example 13
easyMultiply .
Example 14
challengeFind the coefficient of in .
Example 15
easyExpand .
Example 16
easyExpand .
Example 17
mediumMultiply .
Example 18
easyDistribute .
Example 19
easyMultiply .
Example 20
easyDistribute .