Question

Given that x - 5 is a factor of the cubic polynimal x3 - 3 5x2 +13 x - 3 5 find all the zeros of the polynomial.

Answer 1

let

x-5=0

x=5

P(X) = x^3 - 35x^2 + 13x - 35

= (5)^3 - 35[(5)^2] +13×5 - 35

= 125 - 35 (25) + 65 - 35

= 95 -875 + 65 - 35

=160 - 910

=750

therefore x-5 is a factor