Question

if (x-1)is a factor of p(x)=x²+x+k,then find the value of 'k'​

Answer 1

Answer:

k= -2

Step-by-step explanation:

x-1=0

x= 1

$p(x)= x^2+x+k=0\\p(1)= 1^{2} +1+k=0\\1+1+k=0\\2+k=0\\k=-2$

Answer 2

Answer:

Solution: (i) p(x) = x2 + x + k

Apply remainder theorem  

=>x - 1 =0  

=> x =  1  

According to remainder theorem p(1) = 0 we get  

Plug x = 1 we get  

=> k(1)2  + 1+ 1 =0  

=>k  +1 + 1 =0  

=>  k  + 2 = 0  

=> k = - 2    

Answer value of k = -2

Step-by-step explanation:

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