SOLUTION: The polynomial 3x^3+mx^2+nx-8 is divisible by 3x-2 where m and n are constants .If the quotient is x^2-3x+4 ,find the values of m and n.

Question 1200414: The polynomial 3x^3+mx^2+nx-8 is divisible by 3x-2 where m and n are constants .If the quotient is x^2-3x+4 ,find the values of m and n.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
If the polynomial division is performed and then simplified, the result can be shown as as the quotient.

If that is given to be equal to , then equate the corresponding terms.

.
Solve this system for m and n.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

This one is simple, because there is no remainder. So is the product of and

ANSWERS: m = -11; n = 18

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