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

Question

asked Aug 1, 2021 90.0k views

1 Answer

Trupin · Answer 1 · 2021-08-07T07:59:37+0000

Answer:

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