Let P(x)=x4+ax3+bx2+cx+dbe a polynomial such that P(1)=1,P(2)=8,P(3)=27,P(4)=64,then the value of P(5) is_________.

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 149.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Clearly, P(x)−x3=0 has roots 1,2,3,4∴ P(x)−x3=(x−1)(x−2)(x−3)(x−4)⇒ P(x)=(x−1)(x−2)(x−3)(x−4)+x3Hence, P(5)=1×2×3×4+125=149.

Watch 3-min video & get full concept clarity