Question

Find r(x)=f(x)g(x), where f(x)=2x2x2−8x and g(x)=8x2 24xx2 x−6

Answer 1

To find r(x)=f(x)g(x), we multiply the two polynomials and combine like terms.

Step-by-step explanation:

To find r(x)=f(x)g(x), where f(x)=2x^2-8x and g(x)=8x^2-24x^2-x-6, we will multiply the two polynomials.

First, we multiply the coefficients of the terms with the same degree. For example, the coefficient of x^4 in the product will be 2 * 8 = 16.

Next, we add the exponents of x in the product. For example, the x term in the product will have an exponent of 2 + 2 = 4.

Putting it all together, we have r(x) = 16x^4 - 48x^3 - 10x^2 - 14x - 48.