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Question

If , are zeroes of the polynomial x2 − 2x − 15, then form a quadratic polynomial whose zeroes are (2) and (2).

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Solution

The given polynomial is andand are the zeroes of the polynomial , then we have to find another polynomial whose zeroes are,

Now we comparing the given polynomial with, we get

We know that

The polynomial whose zeroes are, is

Hence the polynomial is


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