Question

Find the qiadratic polynomial,the sum of whose roots is root 2 and their product is 1/3.

Answer 1

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Answer 2

The answer is given below :

Let, the roots are a and b.

The sum of the roots of the polynomial,

a + b = √2

and

the product of the roots of the polynomial,

ab = 1/3.

So, the required polynomial is

= x² - (a + b)x + (ab)

= x² - √2x + 1/3

= (3x² - 3√2x + 1)/3

i.e., (3x² - 3√2x + 1) is the required polynomial.

Thank you for your question.