Question

Question

Determine the resulting polynomial:
f(x) = −2x + 2
g(x) = −5x² + 7x + 4
Find: f(x) g(x)

Answer 1

To find the resulting polynomial, multiply the given polynomials together and combine like terms.

Step-by-step explanation:

To find the resulting polynomial of the product of f(x) = −2x + 2 and g(x) = −5x² + 7x + 4, we'll multiply the two polynomials together. Here's how:

1. Multiply the first terms of each polynomial: -2x * -5x² = 10x³
2. Multiply the outer terms and inner terms: -2x * 7x = -14x² and -2x * 4 = -8x
3. Multiply the last terms of each polynomial: 2 * -5x² = -10x²

Now, simplify the polynomial by adding all the terms together: 10x³ - 14x² - 8x - 10x² + 2. Combining like terms, we have: 10x³ - 24x² - 8x + 2.

Learn more about Multiplying polynomials