Question
f(x) = 6x^3- 3x^2+ 4x - 4 and g (x) = 9^2 + x - 1. What is f(x) - g(x)? Show
all of your steps and write your final answer in factored form.
all of your steps and write your final answer in factored form.
Answers
GPT 3.5
To find f(x) - g(x), we need to subtract g(x) from f(x).
Given:
f(x) = 6x^3 - 3x^2 + 4x - 4
g(x) = 9x^2 + x - 1
f(x) - g(x) = (6x^3 - 3x^2 + 4x - 4) - (9x^2 + x - 1)
f(x) - g(x) = 6x^3 - 3x^2 + 4x - 4 - 9x^2 - x + 1
f(x) - g(x) = 6x^3 - 12x^2 + 3x - 3
Therefore, f(x) - g(x) = 6x^3 - 12x^2 + 3x - 3
Given:
f(x) = 6x^3 - 3x^2 + 4x - 4
g(x) = 9x^2 + x - 1
f(x) - g(x) = (6x^3 - 3x^2 + 4x - 4) - (9x^2 + x - 1)
f(x) - g(x) = 6x^3 - 3x^2 + 4x - 4 - 9x^2 - x + 1
f(x) - g(x) = 6x^3 - 12x^2 + 3x - 3
Therefore, f(x) - g(x) = 6x^3 - 12x^2 + 3x - 3