# Find the Quadratic Polynomial, Sum of Whose Zeroes is Sqrt2 and Their Product is (1/3). - Mathematics

Find the quadratic polynomial, sum of whose zeroes is sqrt2 and their product is (1/3).

#### Solution

We can find the quadratic equation if we know the sum of the roots and product of the roots by using the formula

x^2-(sum of the roots)x+Product of roots =0

⇒ x^2-sqrt2x+1/3=0

⇒ 3x^2-3sqrt2x+1=0

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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