Let f(x) = 2x² + 6x − 8 and g(x) = x + 5. Find f(x) × g(x)

We will be using the concept of multiplying functions to solve this.

Answer: If f(x) = 2x² + 6x − 8 and g(x) = x + 5, then f(x) × g(x) = 2x³ + 16x² + 22x - 40

Let's solve it step by step.

Explanation:

Given that, f(x) = 2x² + 6x − 8 and g(x) = x + 5

f(x) × g(x) = (2x² + 6x − 8)(x + 5)

f(x) × g(x) = 2x³ + 6x² - 8x + 10x² + 30x - 40

f(x) × g(x) = 2x³ + 16x² + 22x - 40

Thus, if f(x) = 2x² + 6x − 8 and g(x) = x + 5, then f(x) × g(x) = 2x³ + 16x² + 22x - 40