Question

Multiply the following polynomials and find the degree of the resultant polynomial:

p(x) = x² – 9, q(x) = 6x² + 7x – 2

Answer 1

p(x) × q(x) = (x² – 9) (6x² + 7x – 2)

= 6x⁴ + 7x³ – 2x² – 54x² – 63x + 18

= 6x⁴ + 7x³ – 56x² – 63x + 18

The degree of the polynomial is 4.