Question

Given that f(x)=x²-13x+30 and g(x)=x-3, find f(x)⋅g(x) and express the result in standard form.

A. f(x)⋅g(x) = x³ - 16x² + 69x - 90
B. f(x)⋅g(x) = x³ - 10x² + 21x - 90
C. f(x)⋅g(x) = x² - 10x² + 27x - 90
D. f(x)⋅g(x) = x² - 16x² + 69x - 90

Answer 1

To find the product of f(x) and g(x), we need to multiply the two functions. Expanding the expression (x² - 13x + 30)(x - 3), we get f(x)⋅g(x) = x³ - 16x² + 69x - 90, which is equivalent to option A.

Step-by-step explanation:

To find the product of f(x) and g(x), we need to multiply the two functions. In this case, f(x) = x² - 13x + 30 and g(x) = x - 3. To multiply these functions, we distribute each term in f(x) by g(x) and then combine like terms. So, f(x)⋅g(x) = (x² - 13x + 30)(x - 3).

Expanding this expression, we get f(x)⋅g(x) = x³ - 16x² + 69x - 90, which is equivalent to option A.