SOLUTION: For what value of m is 4x^2+6x+m divisible by x-3?

SOLUTION: For what value of m is 4x^2+6x+m divisible by x-3?

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Question 1010288: For what value of m is 4x^2+6x+m divisible by x-3?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Synthetic division
;;;;;4;;;;;;6;;;;;;;m
3
;;;;4;;;;;12;;;;;
;;;;;;;;;;;18;;;;;;;54
the remainder is 54, so m must be -54 to make the remainder 0.
==================
(x-3)(4x+18)=4x^2+6x-54

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