Grade 1210 grade maths
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.
1,1
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.
1,1
1 Answer
Harshit Singh
Dear Student
Given,
Sum of zeroes = 1 =α + β
Product of zeroes = 1 =αβ
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– x + 1
Thus,
x^2– x + 1 is the quadratic polynomial.
Thanks
Given,
Sum of zeroes = 1 =α + β
Product of zeroes = 1 =αβ
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– x + 1
Thus,
x^2– x + 1 is the quadratic polynomial.
Thanks
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