Question

Write a quadratic polynomial with the given sum and product of zeroes root2 , 1/3

Answer 1

Answer:

QUESTION:-

Write a quadratic polynomial with the given sum and product of zeroes √2 , ⅓

Solution:-

We know, Quadratic Formula↓

K[x^2-(sum of zeroes)x+Product of zeroes]

=>

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

Let k=3

=>3x²-3√2x+1

The Quadratic Polynomial is↓

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

$\mathcal{BE \: BRAINLY}$