Polynomial Operations Practice
Classify, evaluate, add, subtract, and multiply polynomials. Every problem is generated fresh — the numbers change, the method never does.
1 Practice
Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss earns another hint; a third miss walks you through the full solution.
2 What you’ll practice
Every problem is generated fresh from templates across several question types — a problem never repeats until its whole pool is used up.
Classify
Name a polynomial by degree and term count.
Standard form
Rewrite with exponents falling.
Evaluate
Substitute a value for x and compute.
Add / subtract
Combine like terms; distribute the minus.
Multiply
Every term times every term.
Combine like terms
Simplify long expressions.
3 Watch out for these
The three mistakes students make most often on these problems.
In (5x³ − 2x) − (2x³ + x² − 9), the minus must flip +x² to −x² and −9 to +9 — every term, not just the first.
x² + x² is 2x², not x⁴. Exponents add only when you multiply powers.
In 7x² − x⁵ + 3 the degree is 5 — the highest exponent anywhere.