Question

\(x^3 -2x^2 + a \equiv
\left(x+2\right)
Q(x) + 3 \)
where Q(x) is a polynomial. Find the value of a

Answer 1

Well, how do i start this? i havent done these in a while..

Answer 2

if \(x=-2\) the right hand side is \(3\)
make sure the left hand side is 3 as well

Answer 3

\[(-2)^2 -2(-2)^2+a \equiv
\left(x+2\right)
Q(x) + 3 \]
hmm
\[-16 + a \equiv
\left(x+2\right)
Q(x) + 3 \]

Answer 4

right hand side is 3

Answer 5

how is the right hand side 3?
like this\[(-3+2)(Q(-3) +3\]?

Answer 6

\[(-2)^2 -2(-2)^2+a \equiv
\left(-2+2\right)
Q(-2) + 3\]

Answer 7

ohhh..i got it thanks!

Answer 8

yw