Question

Let f(x) = 2x2 − 2x + 7 and g(x) = x2 + 9x − 6. Find f(x) − g(x).

Answer 1

Given information :

`f(x) = 2x^2-2x+7\\g(x) = x^2+9x-6`

Find f(x) - g(x)

`f(x)-g(x) = (2x^2-2x+7) - (x^2+9x-6)`

Distribute the negative to the second polynomial

`f(x)-g(x)=2x^2-2x+7 -x^2 -9x + 6`

optional : rearrange the terms

`f(x)-g(x)=2x^2-x^2-2x-9x+7+6`

Combine like terms and find f(x) - g(x)

`f(x)-g(x) = x^2 - 11x + 13`