Question

4. Consider the following polynomials: 6(x2 – 3) and 5x2 + x + 11

a. Find the sum of the polynomials.
b. Find the difference of the polynomials.

Answer 1

Explanation:

6(x² – 3) and 5x² + x + 11

a. Find the sum of the polynomials.

6(x² – 3) and 5x² + x + 11

6x²-18 + (5x² + x + 11)

6x²-18 + 5x² + x + 11

choose like terms

6x²-5x² + x + 11 -18= x²+x-7

b. Find the difference of the polynomials.

6x²-18 -(5x² + x + 11)

6x²-18 -5x² -x - 11

6x²-5x² -x - 11-18

x²-x-29