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

k = -6

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