Question

find the value of K ef x-1 is a factor of
x²+x+k​

Answer 1

Answer:

If, x-1 is a factor, 1 is one of the zeroes of the polynomial.

A polynomial can be equated to zero.

x²+x+k = 0

Substitute x = 1

1²+1+k = 0

2+k = 0

k = -2.

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Answer 2

P(x):x^2+x+k
x-1:0->x:1
P(1):(1)^2+1+k ->2+k
K:-2 hence value of k is -2