Question

The functions f(x) and g(x) are defined below.

Answer 1

For this case we have the following polynomials:
 $f (x) = 21x ^ 2 + 13x - 20 g (x) = -3x - 4$
 To divide the polynomials we must follow the following steps:
 1) Same base, the exponents are added.
 2) Only terms that have the same exponent can be added or subtracted.
 3) If the remainder is zero, the division is exact.
 Answer:
 $f (x) / g (x) = -7x + 5$
 Note: see attached image for the solution.