Question

Question

Watch
Given that f(x) = x² + 6x-27 and g(x)=x-3, find f(x) · g(x) and express the result as a
polynomial in simplest form.
Answer Attempt 1 out of 31

Answer 1

To find f(x) · g(x), substitute g(x) into f(x) and simplify the resulting expression to get x³ + 3x² - 27x + 81.

Step-by-step explanation:

To find f(x) · g(x), we need to multiply the two functions together by substituting g(x) into f(x).

f(x) · g(x) = (x² + 6x - 27)(x - 3)

Using the distributive property, we can expand the expression:

f(x) · g(x) = x²(x) + 6x(x) - 27(x) - 3x² - 18x + 81

Combining like terms:

f(x) · g(x) = x³ + 3x² - 9x - 18x + 81

Simplifying the polynomial:

f(x) · g(x) = x³ + 3x² - 27x + 81

Learn more about Multiplying polynomials