Question

Ermine the resulting polynomial:

aswer Attempt 1 out of 2
f(x) = 3x + 4
g(x) = 7x² - 10x + 5
Find: f(x) g(x)

Answer 1

The resulting polynomial when multiplying f(x) and g(x) is 21x³ - 2x² - 25x + 20.

Step-by-step explanation:

The resulting polynomial when multiplying f(x) and g(x) is found by distributing each term of f(x) to each term of g(x) and then combining like terms.

First, distribute 3x in f(x) to each term in g(x), resulting in 3x*(7x²) + 3x*(-10x) + 3x*(5). This simplifies to 21x³ - 30x² + 15x.

Then, distribute 4 in f(x) to each term in g(x), resulting in 4*(7x²) + 4*(-10x) + 4*(5). This simplifies to 28x² - 40x + 20.

Finally, combine the like terms to get the resulting polynomial: 21x³ - 30x² + 15x + 28x² - 40x + 20.

The final resulting polynomial is: 21x³ - 2x² - 25x + 20.

Learn more about Multiplying polynomials