Let f(x) = x² + 3x - 4 and g(x) = x + 5. Find f(x) . g(x) ?

Solution:

Given, f(x) = x² + 3x - 4 and g(x) = x + 5.

We have to find f(x) . g(x)

f(x) . g(x) = (x² + 3x - 4) (x + 5)

Using the multiplicative distributive property

f(x) . g(x) = x³ + 5x² + 3x² + 15x - 4x - 20

So we get

f(x) . g(x) = x³ + 8x²+ 11x - 20

Therefore, f(x) . g(x) is x³ + 8x²+ 11x - 20.

Let f(x) = x² + 3x - 4 and g(x) = x + 5. Find f(x) . g(x) ?

Summary:

If (x) = x² + 3x - 4 and g(x) = x + 5, the value of f(x) . g(x) is x³ + 8x²+ 11x - 20.