Learn Let Fx 2x2 6x 8 And Gx X 5 Find Fx Gx

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# Let f(x) = 2x^{2} + 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) = 2x^{2} + 6x − 8 and g(x) = x + 5, then f(x) × g(x) = 2x^{3} + 16x^{2} + 22x - 40

Let's solve it step by step.

**Explanation:**

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

f(x) × g(x) = (2x^{2} + 6x − 8)(x + 5)

f(x) × g(x) = 2x^{3} + 6x^{2} - 8x + 10x^{2} + 30x - 40

f(x) × g(x) = 2x^{3} + 16x^{2} + 22x - 40

### Thus, if f(x) = 2x^{2} + 6x − 8 and g(x) = x + 5, then f(x) × g(x) = 2x^{3} + 16x^{2} + 22x - 40

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