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Question

Find a quadratic polynomial each with the given numbers as the zeroes of the polynomial.
23,23

A
x2+12
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B
x2+2x12
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C
x22x+12
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D
x212
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Solution

The correct option is D x212
Given roots: 23,23

Sum of the roots=23+(23)
=0

Product of the roots=(23)(23)
=4(3)
=12

Now, the quadratic equation is given by,
x2(sum of roots)x+(product of the roots)
=x2(0)x+(12)

=x212

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