Question

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

please help !

Answer 1

HI!!

Answer 2

i have a suggestion!

Answer 3

if \((x+2)\) is a factor, then if you replace \(x\) by \(-2\) you have to get zero

Answer 4

put \(x=-2\) in to \(x^3+6x^2+kx+10=0\) and solve for \(k\)

Answer 5

i thank that means put
\[(-2)^3+6(-2)^2-2k+10=0\] right?

Answer 6

that should do it
you good from there?

Answer 7

Yeah I should be good from here , but would you mind checking my answer when I'm done ?

Answer 8

no not at all go ahead and post it

Answer 9

So I just did it and the answer I got is -11

Answer 10

oops

Answer 11

\[-8+12-2k=10=0\] is a start

Answer 12

Ok so I redid it and this time I got 2 as an answer

Answer 13

yeah i made a mistake too

Answer 14

first step is
\[-8+24-2k+10=0\]

Answer 15

then \[26-2k=0\\
26=2k\\
13=k\]

Answer 16

Yeah I got 13 over here as well

Answer 17

good!

Answer 18

thankyou so much for the help :)

Answer 19

\[\color\magenta\heartsuit\]