Medium
A polynomial p(x) has degree 4 and another polynomial q(x) has degree 4. What is the degree of p(x) × q(x)?
Explanation
Explanation
When two polynomials are multiplied, their degrees add up (since the highest-degree terms multiply to give a term of degree deg(p) + deg(q), which cannot cancel). So degree of p(x) × q(x) = 4 + 4 = 8.
PRO TIP
Re-check your working by substituting the answer back into the original question.