SOLUTION: Question: If 4x^3+6x^2-2x+5 is divided by x+1/2, then the remainder is: (5), (6), (13/2), or (7)? thank-you.

Question 202604: Question: If 4x^3+6x^2-2x+5 is divided by x+1/2, then the remainder is: (5), (6), (13/2), or (7)? thank-you.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If you know Synthetic division it is easier than log division. I'm going to do this with long division because I don't feel like explaining Synthetic division again right now. (Someday I'll try an Algebra.com "lesson" on Synthetic Division.)

        4x^2 + 4x   +  (-4)
        ___________________________________
x + 1/2/4x^3 + 6x^2 + (-2x)  +  5
        4x^3 + 2x^2
       ------------
               4x^2 + (-2x)
               4x^2 +   2x
               ------------
                       -4x  +   5
                       -4x  + (-2)
                       -----------
                                7

So the remainder is 7.

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