Question

Find the value of k if x-1 is a factor of xsquare +x+k

Answer 1

Answer:

Step-by-step explanation:

If x-1 is factor of X^2+x+k

Then,x-1 =0

as x-1 is factor so the p(x) =0 on x=1

1+1+k=0

2+k=0

k=-(2)

Hope it helps u

Answer 2

[HeY Mate]

$\huge\bold\red{Answer}$

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➪If x-1 is a factor of p(x),

Then,

x - 1 = 0

x = 1

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Now,

➪Put value of x in p(x).

⇒p(x) = x² + x + k

⇒0 = (1)² + 1 + k

⇒0 = 2 + k

⇒k = -2

Hence, value of k is -2.

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I Hope It Helps You✌️