Question

Find a quadratic polynomials each with the given number as the sum and product of its zeroes respectively ✓2, 1/3​

Answer 1

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Answer 2

The sum of the zeroes of a quadratic polynomial is equal to the negative of the coefficient of x by the coefficient of x2 . A polynomial having value 0 is called a zero polynomial.

In this as the sum of zeroes is √2

As the sum of zeroes=-b/a

Nd product of zeroes= c/a

ax^2 + bx + c is a quadratic equation

as product of roots =1/3

c/a = 1/3

= c= 1 Nd a=3

also -b/a = √2

= b= -3√2

equation = 3x^2 - 3√2 x+1