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Questions
Find α, β are the zeros of polynomial α + β = 6 and αβ = 4 then write the polynomial.
If α, β are the zeros of a polynomial such that α + β = 6 and αβ = 4 then write the polynomial.
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Solution
If the zeros of the quadratic polynomial are 𝛼 and 𝛽 then the quadratic polynomial can be found as x2 – (α + β)x + αβ ...(1)
Substituting the values in (1), we get
x2 – 6x + 4
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