CBSE NCERT Solutions for Class 10 Science Chapter 2 – Ex 2 1 1 Class – X – NCERT – Maths Polynomials Page - 3 Solution: (i) Since the graph of
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File Name : C:\Computer Station\Class - X (Maths)/Final/Chap-2/Chap–2(8th Nov ) pmd 2 In this chapter, we will try to answer these questions We will also
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CBSE NCERT Solutions for Class 10 Science Chapter 2 – Ex 2 1 1 Class – X – NCERT – Maths Polynomials Page - 3 Solution: (i) Since the graph of
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Class X NCERT Maths Polynomials
Page - 1
CBSE NCERT Solutions for Class 10 Science Chapter 2 Ex 2.1 (i) (ii) (iii)Class X NCERT Maths Polynomials
Page - 2
(iv) (v) (vi)Class X NCERT Maths Polynomials
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Solution:
number of zeroes is 3. CBSE NCERT Solutions for Class 10 Science Chapter 2 Ex 2.21. Find the zeroes of the following quadratic polynomials and verify the relationship
between the zeroes and the coefficients.Class X NCERT Maths Polynomials
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Solution:
Therefore, by equating the given polynomial to zero. We get, Hence, the relationship between the zeroes and the coefficients is verified. Therefore, by equating the given polynomial to zero. We get,Cancelling square on both the sides,
Class X NCERT Maths Polynomials
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Sum of zeroes ൌଵ
Product of zeroes ൌଵ
Hence, the relationship between the zeroes and the coefficients is verified. Therefore, by equating the given polynomial to zero. We get, ଷ or ݔൌଷ ଷ and ଷSum of zeroes ൌିଵ
Product of zeroes ൌିଵ
Hence, the relationship between the zeroes and the coefficients is verified.Class X NCERT Maths Polynomials
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Therefore, by equating the given polynomial to zero. We get, Hence, the relationship between the zeroes and the coefficients is verified. Therefore, by equating the given polynomial to zero. We get, Sum of zeroes ൌξͳͷ൫െξͳͷ൯ൌͲൌିProduct of zeroes ൌ൫ξͳͷ൯൫െξͳͷ൯ൌെͳͷൌିଵହ
Hence, the relationship between the zeroes and the coefficients is verified.Class X NCERT Maths Polynomials
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Therefore, by equating the given polynomial to zero. We get,Sum of zeroes ൌସ
Product of zeroes ൌସ
Hence, the relationship between the zeroes and the coefficients is verified.2. Find a quadratic polynomial each with the given numbers as the sum and product
of its zeroes respectively. (iii) ǡξSolution:
is a non-zero real number.Class X NCERT Maths Polynomials
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By taking ܽ
the given conditions. is a non-zero real number.By taking ܽ
the given conditions. is a non-zero real number.Class X NCERT Maths Polynomials
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By taking ܽ
the given conditions. is a non-zero real number.By taking ܽ
the given conditions. is a non-zero real number.Class X NCERT Maths Polynomials
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By taking ܽ
the given conditions. is a non-zero real number.By taking ܽ
the given conditions. CBSE NCERT Solutions for Class 10 Science Chapter 2 Ex 2.3 remainder in each of the following:Solution:
Class X NCERT Maths Polynomials
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Here, both the polynomials are already arranged in the descending powers of variable.Quotient ൌݔെ͵
Remainder ൌݔെͻ
of variable. variable.Class X NCERT Maths Polynomials
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Remainder ൌͺ
variable.Remainder ൌെͷݔͳͲ
2. Check whether the first polynomial is a factor of the second polynomial by
dividing the second polynomial by the first polynomial:Solution:
Class X NCERT Maths Polynomials
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polynomial ݔଷെ͵ݔͳ as follows:Class X NCERT Maths Polynomials
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Since the remainder is not equal to Ͳǡ hence ݔଷെ͵ݔͳ is not a factor of