If (x + 2) is a factor of x3 − 6x2 + kx + 10, k equals

Step-by-step explanation:

for a given k we got

and we are looking for k so that

let s estimate

we can identify the terms do

terms in

   1 = a

terms in

   -6=b+2a

terms in x

   k=2b+c

constant term

   10 = 2c

it gives c = 10/2=5 and as a=1 b = -6-2a=-6-2=-8

so k = -2*8+5=-16+5=-11

the answer is k=-11

and then