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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively. 4, 1 Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively. 4, 1
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.
4, 1
Dear StudentGiven,Sum of zeroes, α + β = 4Product of zeroes, αβ = 1Therefore, if α and β are zeroes of any quadratic polynomial, then the polynomial can be written as:-x^2– (α + β)x + αβx^2– 4x + 1Thus, x^2– 4x +1 is the quadratic polynomial.Thanks
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