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 (x + 3)(x + 5), the FOIL method (First, Outer, Inner, Last) organizes the four handshakes: x \cdot x + x \cdot 5 + 3 \cdot x + 3 \cdot 5.

Example 1

easy
Multiply (x + 4)(x + 3) using FOIL.

Example 2

medium
Expand (2x - 1)(x^2 + 3x - 5).

Example 3

easy
Multiply (x - 2)(x + 6).

Example 4

hard
Expand (x + 1)^2(x - 1).
← Back to Polynomial Multiplication Worked Examples Formula Explained