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Solution - Find the Zeroes of the Following Quadratic Polynomials and Verify the Relationship Between the Zeroes and the Coefficients - CBSE Class 10 - Mathematics

ConceptRelationship Between Zeroes and Coefficients of a Polynomial

Question

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients

4s2 – 4s + 1

Solution

4s2 – 4s + 1 = 4s2 – 2s - 2s + 1

=2s(2s - 1) - 1(2s - 1)

=(2s - 1)(2s -1)

=`2(s - 1/2)2(s - 1/2)`

Therefore the zeroes of the polynomial are 1/2, 1/2

Relationship between the zeroes and the coefficient of the polynomial:

Also sum of the zeroes = `1/2+1/2 =1`

Also product of the zeroes = `1/2xx1/2=1/4`

hence verfied.

Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 10 (with solutions)
Chapter 2: Polynomials
Q: 1.2 | Page no. 33

Reference Material

Solution for question: Find the Zeroes of the Following Quadratic Polynomials and Verify the Relationship Between the Zeroes and the Coefficients concept: null - Relationship Between Zeroes and Coefficients of a Polynomial. For the course CBSE
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