Question

If p(x) = a x 4 + b x 3 + c x 2 + d x + e ax4+bx3+cx2+dx+e has roots at x = 1, 2, 3, 4 and p(0) = 48, what is p(5)
a. 48

Answer 1

look p(x) is given . and 1,2,3,4 are roots so they will satisfy themmmm
a+b+c+d+e=0
64a+8b+4c+2d+e=0
81a+27b+9c+3d+e=0
256a+64b+16c+4d+e=0
and p(0)=e=48
since we have 5 variables and 5 eqn... we can solve it... use matrix direct, I say...