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Question

Find a cubic polynomial whose zeroes are 2, - 3 and 4.

A
x33x210x+24
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B
x3x2x+2
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C
x3+x2+x
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D
2x3+x2+1
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Solution

The correct option is A x33x210x+24
If a, b and c are the zeroes of a cubic polynomial f(x), then
f(x)=x3(a+b+c)x2+(ab+bc+ca)x(abc)
Thus, the required polynomial is:
x3(3)x2+(10)x(24)
=x33x210x+24

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