Practice Polynomials in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

An expression built by adding terms that consist of constants multiplied by variables raised to non-negative integer powers.

A sum of terms like 3x^2 + 2x - 5. The highest power is the degree.

Example 1

easy
What is the degree of the polynomial 4x^3 - 2x^2 + x - 7?

Example 2

medium
Add the polynomials (3x^2 + 2x - 5) and (x^2 - 4x + 3).

Example 3

medium
Multiply (2x + 3)(x^2 - x + 4).

Example 4

easy
Classify 5x^4 - x + 2 by degree and number of terms.

Example 5

medium
Subtract (2x^3 - x + 4) from (5x^3 + 3x^2 - 2).