what is the quadratic polynomials of 1,1 whose sum and product of its zeros respectively?????
Answers
Answered by
3
Soln:
Given,
1 and 1 are the sum and product of the zeroes of the quadratic polynomial
Let,
α and β be the zeroes of the quadratic polynomial
Here,
Sum of zeroes, α+β =1
Product of zeroes, αβ =1
Therefore,
the reqd. quadratic polynomial-
=>x^2 - (sum of zeroes)x +product of zeroes
=>x^2 - (α+β)x + αβ
=>x^2-x+1
Given,
1 and 1 are the sum and product of the zeroes of the quadratic polynomial
Let,
α and β be the zeroes of the quadratic polynomial
Here,
Sum of zeroes, α+β =1
Product of zeroes, αβ =1
Therefore,
the reqd. quadratic polynomial-
=>x^2 - (sum of zeroes)x +product of zeroes
=>x^2 - (α+β)x + αβ
=>x^2-x+1
Answered by
7
✋✋
here's your answer ⏩⏩
✌hope it helps u ✌
here's your answer ⏩⏩
✌hope it helps u ✌
Similar questions