Question

Find (f•g) and (f/g)(x) for

Answer 1

(f·g)(x) is 75x³ + 140x² + 87x + 18 and (f/g)(x) = 3x + 2

Step-by-step explanation:

• Step 1: Given f(x) = 15x² + 19x + 6 and g(x) = 5x + 3. Find (f×g)(x).

(f·g)(x) = f(x) × g(x) = (15x² + 19x + 6)(5x + 3)

          = 75x³ + 45x² + 95x² + 57x + 30x + 18

          = 75x³ + 140x² + 87x + 18

• Step 2: Find (f/g)(x)

(f/g)(x) = f(x)/g(x) = (15x² + 19x + 6)/(5x + 3)

The long division is shown in the attachment.

On long division, it is equal to 3x + 2