Question

If x-1 is a factor of p(X) =x^2+X+k,then the value of k is : I) 3. II)2. III)-2. IV)3

Answer 1

Answer: iii) -2

Step-by-step explanation: x-1=0⇒x=1

x-1 is a factor of p(X) ⇒ P(1)=0

⇒p(1):1²+1+k=0

⇒1+1+k=0

⇒2+k=0

⇒k= -2

Answer 2

Answer:

III) -2

Step-by-step explanation:

x-1 = 0

x = 0+1

x = 1

p(x) = x^2+x+k

p(1) = 1^2+1+k

p(1) = 1+1+k

0 = 2+k

k = 0-2

k = -2