Question

Help ...
If (x - 1) is a factor of x3 + x2 + kx - 2, find the value of k.

Answer 1

x3+x2+kx-2 And (x-1) is a factor

so,

Substitute +1 in places of only x

(1)*3+(1)*2+k*(1)-2

3+2+k-2

5+k-2

3+k Now, as (x-1) is a factor Equate 3+k to Zero

3+k=0

k=-3

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