Question

a polynomial P(x) with leading coefficient 1 of degree 4 is such that p(α)=o and its roots are 1,2&3.then the value of p(0)+p(4)is
a)24
b)0
c)6
d)48
the ans is a)24 but i dont know how pls derive it
i will award u 29 pts.

Answer 1

Since, α, 1, 2, 3, are the roots of P(x), P(x)=(x-α)(x-1)(x-2)(x-3).
P(0)=6α and P(4)=24-6α and their sum is 24.