Problem

Given two functions, f(x)=3x2+2x−1 and g(x)=x2−4. Find the sum and the product of the two functions.

Answer

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Answer

Step 5: Combine like terms. f(x)⋅g(x)=3x4+2x3−13x2−8x+4

Steps

Step 1 ：Step 1: Find the sum of the two functions. f(x)+g(x)=(3x2+2x−1)+(x2−4)

Step 2 ：Step 2: Combine like terms. f(x)+g(x)=4x2+2x−5

Step 3 ：Step 3: Find the product of the two functions. f(x)⋅g(x)=(3x2+2x−1)⋅(x2−4)

Step 4 ：Step 4: Distribute each term in the first function to each term in the second function. f(x)⋅g(x)=3x4−12x2+2x3−8x−x2+4

Step 5 ：Step 5: Combine like terms. f(x)⋅g(x)=3x4+2x3−13x2−8x+4

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