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