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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

Answer: A. 6x^2 − 7x + 2

What is the f of x over the g of x when f(x) = 6x^3 − 19x^2 + 16x − 4 and g(x) = x − 2?

A. 6x^2 − 7x + 2

B. 3x^2 − 9x + 8

C.  6x^2 − 7x + 2 − 8/(x-2)

D. 3x^2 − 9x + 8 − 8/(x-2)

Step-by-step explanation:

I just did the assignment and the correct answer is A. 6x^2 − 7x + 2! Hope this helps.

Good Luck!!

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