Question

find the valhe of k if x-1 is a factor of p(x) where p(x)=x^2+x+k​

Answer 1

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Given-

x-1 is a factor

x=1

put the value of x in the equation

${1}^{2} + 1 + k = 0 \\ 2 + k = 0 \\ k = - 2$

Answer 2

Answer:

k = -2

Step-by-step explanation:

p(x) = x² + x + k

if (x - 1) is a factor, it means that if we sub x = 1 into p(x), it will return 0.

Sub x = 1

p(x) =  (1)² + (1) + k

p(x) =  2 + k

Since p(x) will return a 0

2 + k = 0

k = -2

Answer: k = -2