Question

What is the f of x over the g of x when f(x) = 6x3 − 19x2 + 16x − 4 and g(x) = x − 2? (2 points)

Answer 1

You're being asked to divide 6x^3 - 19x^2 + 16x - 4 by x - 2.

Try using synthetic division, if you know it:

     _______________
2  /   6    -19    16    -4
              12     -14    4
    --------------------------
        6     -7       2     0

6, -7 and 2 are the coefficients of the quotient.  The quotient (answer to this question) is

6x^2 - 7x + 2