Question

Let f(x)= 8x^3 -28x +61 and g(x) = 2x+5. find f(x) over g(x)

Answer 1

Below :)

Explanation:

To find f(x) over g(x), we need to divide the function f(x) by the function g(x).

Step 1: Write the division expression. f(x) over g(x) can be written as f(x) / g(x).

Step 2: Divide the terms. We divide each term of f(x) by the term of g(x) using long division.

Step 3: Simplify the result. The division result is -169. Therefore, f(x) over g(x) = -169.

So, f(x) over g(x) = -169.

It is important to note that when dividing polynomials, the degree of the divisor (g(x)) should not be greater than the degree of the dividend (f(x)). In this case, the degree of g(x) is 1 and the degree of f(x) is 3, so the division is possible.