Question

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

h(x) = 6x² – 7x + 1, f(x) = 5x – 7

Answer 1

h(x) × f(x) = (6x² – 7x + 1) (5x – 7)

= 30x³ – 42x² – 35x² + 49x + 5x – 7

= 30x³ – 77x² + 54x – 7

The degree of the polynomial is 3.