Question

find the value of k if x minus 2 is a factor of P of X that is X square + X + k​

Answer 1

Answer:

k = -6

Step-by-step explanation:

hello

saying that (x-2) is a factor of $x^2+x+k$

means that 2 is a zero of

$x^2+x+k=0 \ so\\2^2+2+k=0\\<=> 4+2+k=0\\<=> 6+k =0\\<=> k = -6$

and we can verify as

$(x^2+x-6)=(x-2)(x+3)$

so it is all good

hope this helps