This question is taken from polynomials in which we have been asked to find the polynomial if α and β are the zeroes of the polynomial such that α+β=6 and αβ=4.
Kindly solve the above problem
RS Aggarwal, Class 10, chapter 2C, question no 4
Rajan@2021Guru
If α and β are the zeroes of the polynomial such that α+β=6 and αβ=4 then write the polynomial.
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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 x²−(α+β)x+αβ
Now, substituting the values, we get
x²−6x+4 which is required polynomial.