Question

Determine the resulting polynomial:

f(x) = -5x - 8
g(x) = 10x² - 3x - 9
a) f(x) · g(x) = -
50x³ - 43x² + 72x + 72
b) f(x) · g(x) = -50x³ + 43x² + 72x + 72
c) f(x) · g(x) = 50x³ - 43x² + 72x - 72
d) f(x) · g(x) = 50x³ + 43x² - 72x - 72

Answer 1

The resulting polynomial when multiplying f(x) = -5x - 8 and g(x) = 10x² - 3x - 9 is -50x³ - 43x² + 72x + 72.

Step-by-step explanation:

To determine the resulting polynomial when multiplying two polynomials, we need to use the distributive property. Let's multiply the two polynomials:

f(x) = -5x - 8

g(x) = 10x² - 3x - 9

First, we multiply -5x with each term in g(x) and then multiply -8 with each term.

The resulting polynomial is: f(x) · g(x) = -50x³ - 43x² + 72x + 72.