Question

find the value of k if x-1 is a factor of the given polynomial p(x)=x^2+x+k​

Answer 1

Answer:

k=-2

Step-by-step explanation:

p(x) = x²+x+k

x-1 = 0

x = 1

so,

p(1) = (1)²+1+k = 0

2+k=0

k=-2

Answer 2

Answer:

if x-1 is a factor then,

x-1=0

x=1

p(x) should be equal to Zero

put X value in p(x) then,

p(1)=1+1+k

p(1)=2+k

p(1)=2+k=0

2+k=0

k=-2

I hope this answer may help you