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+1 vote
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in Polynomials by (30 points)
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If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial.

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1 Answer

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by (28.9k points)

Given : α + β = -6 = sum of zeros and αβ = 5 = Product of zeroes 

We know that, if α and β are the zeros of the polynomial then the quadratic polynomial can be x2 – (α + β) x + αβ 

Now substituting the values, we get 

x2 – (-6)x + 5

= x2 + 6x + 5, which is required polynomial.

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