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Consider $p (x) = (x^{2} - 4)$ and $q (x) = (x^{2} + 4)$ .
A student computes the degree of the product $p (x) * q (x)$ .
What is that degree?

Class 9Degree and Types of PolynomialsPolynomials

A4
B3
C8
D5

Step-by-Step Solution

(x^{2} - 4) (x^{2} + 4) = x^{4} - 16

(difference of squares), whose highest power is 4; degrees add: 2 + 2 = 4.

Answer: A) 4

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