Math, asked by sonalibhattachp5uc3n, 1 year ago

what is the quadratic polynomials of 1,1 whose sum and product of its zeros respectively?????

Answers

Answered by Zephyr270015
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


Answered by creamiepie
7
\huge\bold{hiiiiii} ✋✋

here's your answer ⏩⏩

given \\ \: \: \: sum \: of \: the \: zeroes = 1 \\ \: \: product \: of \: the \: zeroes = 1 \\ \\ \alpha + \beta = 1 \\ \alpha \times \beta = 1 \\ \\ \\ therefore \: required \: equation \: \\ = {x}^{2} - \alpha x + \beta \\ = {x}^{2} - x + 1

✌hope it helps u ✌

<marquee><b>If it helped u please mark my answer as BRAINLIEST</b></marquee>
Similar questions