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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively. 1,1

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.

  1,1

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student


Given,
Sum of zeroes = 1 =α + β
Product of zeroes = 1 =αβ

Therefore,
if α and β are zeroes of any quadratic polynomial,
then the polynomial can be written as:-

x^2– (α + β)x + αβ

x^2– x + 1

Thus,
x^2– x + 1 is the quadratic polynomial.

Thanks

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