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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

ConceptRelationship Between Zeroes and Coefficients of a Polynomial

#### 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

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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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