If p is the root of the equation x2-2 x-6=0, then the value of (p3-2 p2-4 p+7/p2+1) is

Question

If p is the root of the equation x2-2 x-6=0, then the value of (p3-2 p2-4 p+7/p2+1) is (A) 1 (B) 2 (C) 4 (D) 7

Tardigrade Admin · Accepted Answer

p2-2 p-6=0 ( p 3-2 p 2-4 p +7/ p 2+1)=( p ( p 2-2 p )-4 p +7/ p 2+1) =(2 p +7/ p 2+1)=(2 p +7/2 p +7)=1

Q. If $p$ is the root of the equation $x^{2} - 2 x - 6 = 0$ , then the value of $\frac{p ^{3} - 2 p ^{2} - 4 p + 7}{p ^{2} + 1}$ is