pesky remainder problem

[tandoorichicken]

If p(x) = (x+2)(x+k) and if the remainder is 12 when p(x) is divided by x-1, then what is the value of k?

[fffbone]

I'm not sure if it is the right answer, but I think it is 3.

After using long division, we get the remainder 3k+3, which equals 12, meaning k=3.

[No Name Required]

Yes that is rite, found by long division or by saying that when x=1, expression =12 (remainder theorem or something like that)

(1+2)(1+k)=12

k=3