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Question 763371: if (x-1) is a factor of x^3+5x^2+mx+4, find the value m
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! if (x-1) is a factor of x^3+5x^2+mx+4, find the value m
.
if (x-1) is a factor, the remainder of
(x^3+5x^2+mx+4)/(x-1)
should be zero
.
applying synthetic division:
1 | 1 5 m 4
...... 1 6 6+m
----------------
1 6 6+m 10+m
.
therefore,
10+m = 0
m = -10
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