Grade 1210 grade maths
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
1 Answer
Harshit Singh
Dear Student
Given,
Sum of zeroes, α + β = 4
Product of zeroes, αβ = 1
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– 4x + 1
Thus, x^2– 4x +1 is the quadratic polynomial.
Thanks
Given,
Sum of zeroes, α + β = 4
Product of zeroes, αβ = 1
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– 4x + 1
Thus, x^2– 4x +1 is the quadratic polynomial.
Thanks
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