Question

Enter your answer and show all the steps that you use to solve this problem in the space provided.

f
(
x
)
=
9
x
3
+
2
x
2
−
5
x
+
4

and
g
(
x
)
=
5
x
3
−
7
x
+
4
.
what is
f
(
x
)
−
g
(
x
)
?
Show all of your steps and write your final answer in factored form.

Answer 1

`4x^3 + 2x^2 + 2x`

Explanation:

The functions are
`f(x) = 9x^3 + 2x^2 -5x + 4` and
`g(x) = 5x^3 - 7x + 4`. Find the equation when g is subtracted from f and combing like terms. Remember like terms are terms with the same base and exponent.

`(9x^3 + 2x^2 -5x + 4) - (5x^3 - 7x + 4)\\f(x) - g(x) = 9x^3 + 2x^2 -5x + 4 -5x^3 + 7x -4\\f(x) - g(x) = 4x^3 + 2x^2 + 2x`