Question

find a cubic polynomial whose zeroes are 2,-3,4

Answer 1

hope it will help uu

Answer 2

X3-(sum of roots) x2+(sum of product of two roots) x-product of all roots let a, b and c are the roots of a polynomial so,

A+b+c=2-3+4=3
Ab+BC+ca=2×-3+-3×4×4×2
=-6-12+8=-10
ABC=2×-3×4=-24

Now,

Polynomial is.........

X3-(a+b+c) x2+(ab+bc +ca) x-abc=0

X3-3×2-10×+24=0