Question

Find a cubic polynomial whose zeroes are 2,-3 and 5

Answer 1

Answer:

=x³-4x²-11x+30

Step-by-step explanation:

Let zeroes be α,β and γ.

α=2

β=-3

γ=5

Sum of zeroes = α+β+γ=2-3+5

=4

Sum of product of zeroes taken two at a time=αβ+βγ+αγ=2*-3+5*-3+2*5

=-11

Product of zeroes=αβγ=2*-3*5

=-30

Cubic polynomial whose zeroes are α,β,γ is

x³-(α+β+γ)x²+(αβ+βγ+αγ)x-αβγ

=x³-4x²-11x+30