Multiplying Polynomials

These are simple multiplying polynomial problems. All terms have the same variable. The Math Worksheet Site recommends that you read the caveats about teaching the FOIL method at Purplemath.

Number of terms

1 term x 1 term -- (2x)(3x)
1 term x 2 terms -- (2x)(3x + 4)
1 term x 3 terms -- (2x)(3x2 + 4x + 5)
2 terms x 2 terms -- (2x + 3)(4x + 5)
2 terms x 3 terms -- (2x + 3)(4x2 + 5x + 6)
3 terms x 3 terms -- (2x2 + 3x + 4)(5x2 + 6x + 7)
1 term x 2 or 3 terms
2 terms x 2 or 3 terms
3 terms x 2 or 3 terms
2 or 3 terms x 2 or 3 terms

Method of working the problem

For an explanation of these methods, please see the Purplemath Simple Polynomial Multiplication page.

Horizontal
Horizontal, show the distributions
Vertical

There is not sufficient space on the page for 3 term x 3 term problems to use the Horizontal, show the distributions method.

Allow Zero as a Coefficient?

No. (2x2 + 3x + 4)
Yes. (2x4 + 3x2 + 4)

Memo Line

Include Answer Key