Question

Find C, if the remainder when x^4+Cx^2 is divided by x+2 is 28.

Answer 1

replace \(x\) by \(-2\)
set the result equal to \(28\)
solve for \(C\)

Answer 2

i.e. solve
\[(-2)^4+C(-2)^2=28\]
\[16+4C=28\] etc

Answer 3

since by the "remainder theorem" or whatever if it called, the remainder when dividing a polynomial \(p(x)\) by \(x-a\) is the same as \(p(a)\)

Answer 4

right! thanks a bunch, that was very quick. ( :

Answer 5

yw