Question

For what value of k, (x-1) is a factor of the polynomial x² +x+k
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Answer 1

Answer:

k=-2

Step-by-step explanation:

Let P(x) be equal to x^2+x+k

By Applying Remainder Theorem:

Given Divisor i.e. d(x)=x-1

Implies that x-1=0

Therefore, x=1

Remainder=P(1)=1^2+1+k

P(1)=2+k

Since, d(x) should be Divisible by P(x), the Remainder should be Zero(0)

2+k=0

k=-2