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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0, √5 - CBSE Class 10 - Mathematics

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Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively

`0, sqrt5`

Solution

`0, sqrt5`

Let the polynomial be ax2 + bx + c, and its zeroes be α and ß

Given α + ß = 0 = `–b/a`

αß = `sqrt5 ` = `c/a`

If a = 1, b = 0, c = `sqrt5`

Therefore, the quadratic polynomial is x2 + `sqrt5`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 2: Polynomials
Ex. 2.20 | Q: 2.3 | Page no. 33
Solution Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0, √5 Concept: Relationship Between Zeroes and Coefficients of a Polynomial.
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