Question

Find the Quadratic polynomial whose sum and product are root 2+1 and 1/root 2+1​

Answer 1

Answer:

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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

3x2−32x+1=0

Required polynomial is 3x2−32x+1

Answer 2

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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

3x2−32x+1=0

Required polynomial is 3x2−32x+1