Question

If p(x)=X3 + 2 is divided by (X+2).
then the remainder obtained is​

Answer 1

Answer:

Step-by-step explanation:

x  2  −2x−3=(x+1)(x−3) x  3  −2x  2

+px−q−(x−6)=0 at x=−1 and x=3.         (∵(x−6) is the remainder)

put x=−1,

−1−2−p−q+1+6=0

⇒p+q=4…eqn(1)

Now, put x=3

27−18+3p−q−3+6=0

⇒3p−q=−12…eqn(2)

Add equation 1 and 2, we get

4p=−8⇒p=−2