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Linda Drake

Write quadratic polynomial if sum and product of zeroes are -3 and -10 ​

answers: 1
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Answer:

Given : α+β=6 = sum of zeroes and

αβ=4 = product of zeroes

We know that, if α and β are the zeroes of the polynomial then the quadratic polynomial can be x

2

−(α+β)x+αβ

Now, substituting the values, we get

x

2

−6x+4 which is required polynomial.

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