Question

If (x-1) is a factor of x³+3x²+x+m then m value is
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Answer 1

Answer:

m = (-5)

Step-by-step explanation:

The procedure of division till a required step is given in the picture.

I have got my remainder = (m+5)

Now, it is given (x-1) is a factor of (x³+3x²+x+m)

so,

(x-1) should completely divide (x³+3x²+x+m).

Hence remainder must be 0.

so, we can say that:

( m+5) = 0

=>[ m = -5 ]