Question

form a quadratic polynomial the sum and the product of zeros are root 3 and 1 by root 3 respectively​

Answer 1

Step-by-step explanation:

Sum of zeroes= √3

Product of zeroes = 1/√3

p(x)= x² - (sum of zeroes)x + (product of zeroes)

     = x² - x√3 + 1/√3

Answer 2

Form a quadratic polynomial the sum and the product of zeros are root 3 and 1 by root 3 respectively​ is:

$x^2 -\sqrt{3}x + \frac{1}{\sqrt{3}}$

Solution:

Given that,

Form a quadratic polynomial

$sum\ of\ zeros = \sqrt{3}\\\\Product\ of\ zeros = \frac{1}{\sqrt{3}}$

We know that any quadratic equation will be of the form :

$k({x}^{2} -( \alpha +\beta)x + \alpha \beta) = 0$

Where,

$\alpha + \beta = sum\ of\ zeros = \sqrt{3}\\\\\alpha \beta = \frac{1}{\sqrt{3}}$

So the quadratic polynomial is: (if k = 1 )

$x^2 -\sqrt{3}x + \frac{1}{\sqrt{3}}$

Learn more about this topic

Formula to form a quadratic polynomial when sum and product of zeroes are -5 and -6

https://brainly.in/question/5068299

Find the quadratic polynomial sum and product of whose zeroes are 6 and 9 respectively.find zeroes

https://brainly.in/question/1676502