Question

Determine the resulting polynomial: f(x)=x+10 g(x)=3x²+6x-6 Find: f(x) x g(x)

Answer 1

To find the resulting polynomial when multiplying f(x) and g(x) together, we need to apply the distributive property and combine like terms. The resulting polynomial is 3x³ + 6x² - 6x.

Step-by-step explanation:

To find the resulting polynomial when multiplying f(x) and g(x) together, we need to apply the distributive property. This means that we need to multiply each term in f(x) by each term in g(x) and then combine like terms. Let's go through the steps:

1. Multiply x from f(x) by each term in g(x):

• x * 3x² = 3x³
• x * 6x = 6x²
• x * -6 = -6x

Combine the terms:

• 3x³ + 6x² - 6x

So, the resulting polynomial when multiplying f(x) = x + 10 and g(x) = 3x² + 6x - 6 is f(x) x g(x) = 3x³ + 6x² - 6x.

Learn more about Multiplying Polynomials