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Write a Quadratic Polynomial, Sum of Whose Zeros is 2 √ 3 and Their Product is 2. - Mathematics

Sum

Write a quadratic polynomial, sum of whose zeros is \[2\sqrt{3}\] and their product is 2.

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Solution

Let S and P denotes respectively the sum and product of the zeros of a polynomial are  `2sqrt3` and  2.

The required polynomial g(x) is given by

`g(x) = k (x62 - Sx + p)`

`g(x)= k (x ^2 - 2sqrt3 + 2)`

Hence, the quadratic polynomial is  `g(x) = k (x^2 - 2sqrt3x + 2)` where k is any non-zeros real number.

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 22 | Page 60
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