Question

What is (f−g)(x)
(f−g)(x)=

Answer 1

3x^5 -2x^4 -x^2 +x -21

Explanation:

We need to subtract g(x) from f(x)

f(x) = 3x^5 +6x^2 -5

g(x) = 2x^4 +7x^2 -x+16

f(x) -g(x) = 3x^5 +6x^2 -5 - (2x^4 +7x^2 -x+16)

Distribute the minus sign

3x^5 +6x^2 -5 - 2x^4 -7x^2 +x-16

I like to line them up vertically

3x^5 +6x^2 -5

- 2x^4 -7x^2 +x-16

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3x^5 -2x^4 -x^2 +x -21