Question

Given f(x= 7x³ +11x² + 15x + 23 and g(x) = 5x³ + 11x² - 15x-2 find f(x)-g(x)

Answer 1

To find f(x) - g(x), we subtract the corresponding terms of the two functions.

f(x) = 7x³ + 11x² + 15x + 23
g(x) = 5x³ + 11x² - 15x - 2

Now, let's subtract the terms:

(7x³ - 5x³) + (11x² - 11x²) + (15x - (-15x)) + (23 - (-2))

Simplifying each term, we get:

2x³ + 0x² + 30x + 25

Therefore, f(x) - g(x) = 2x³ + 30x + 25.