Question

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

Answer 1

x³ -(sum of roots )x² + ( sum of products 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 -3x² -10x + 24 = 0

Answer 2

Solve it and you will get ur answer