This is the basic and conceptual question from polynomials in which we have given that the sum of zeroes of polynomial is √2 and their product is 1/3 and we have to find the quadratic polynomial.
Kindly solve the above problem
RS Aggarwal, Class 10, chapter 2A, question no 18
The General form of a quadratic polynomial whose Sum of roots and products of roots is given :
x2- ( Sum of roots) x + ( Product of roots ) =0
In the above question,
Sum of roots =√2
Product of roots =1/3.
Now, The quadratic polynomial
x²−√2x+1/3=0
3x²−3√2x+1=0
Required polynomial is 3x²−3√2x+1