Let p(x)=−2x3+6x2+17x−21 Using the remainder theorem Let x+1=0 ∴ x=−1 Since, (x+1) divides p(x), then, remainder will be p(-1) ⇒ p(-1) = -2(-1)3+6(−1)2 + 17(-1) - 21 ∴ p(-1) = -30
