f(x) = 3x^3 - 4x^2 + 6x and g(x) = 5x^3 + 2x^2 - 3x What is f(x) - g(x)

Question

A. -2x^3 - 6x^2 + 9x
B.-2x^3 - 6x^2 - 3x
C. 2x^3 + 6x^2 + 3x
D. 8x^3 - 6x^2 - 9x

Answer 1

To find f(x) - g(x), we subtract the terms of g(x) from f(x) term by term:
f(x) - g(x) = (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)

When we subtract 5x^3 from 3x^3, we get -2x^3.
When we subtract 2x^2 from -4x^2, we get -6x^2.
When we subtract -3x from 6x, we get 9x.

Combining these terms, we get: -2x^3 - 6x^2 + 9x

Therefore, the answer is A. -2x^3 - 6x^2 + 9x.