Question

(40 points) Math help please

Answer 1

(f·g)(x) = x^6 + 2x^5 - 6x^4 + 3x^2 + 6x - 18

Explanation:

(f·g)(x) = (x^2 + 2x - 6)·(x^4 + 3)

(f·g)(x) = x^6 + 3x^2 + 2x^5 + 6x - 6x^4 - 18

(f·g)(x) = x^6 + 2x^5 - 6x^4 + 3x^2 + 6x - 18

Answer 2

x^6 +2x^5 -6x^4 +3x^2 +6x-18

Explanation:

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

g(x) =x^4 +3

We are going to multiply them

f(x) * g(x)= (x^2 +2x-6)(x^4 +3)

First (x^2 +2x-6)(x^4) = x^6 + 2x^5 -6x^4

Then x^2 +2x-6)(3) = 3x^2 +6x-18

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x^6 +2x^5 -6x^4 +3x^2 +6x-18