Ex 2.1, 1 - Which of the following are polynomials in one - Ex 2.1

  1. Chapter 2 Class 9 Polynomials
  2. Serial order wise

Transcript

Ex 2.1, 1 Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4๐‘ฅ2 โ€“ 3๐‘ฅ + 7 4๐‘ฅ2 โ€“ 3๐‘ฅ + 7 = 4๐‘ฅ2 โ€“ 3๐‘ฅ1 + 7 ๐‘ฅ0 Here power of equation is 2,1 and 0. Since all powers are whole number, it is a polynomial Now since there is only one variable x, it is polynomial in one variable Yes, this expression is a polynomial in one variable x. Ex 2.1, 1 Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (ii) y2 + โˆš2 y2 + โˆš2 = y2+ โˆš2 y0 Here power of equation is 2 and 0. Since all powers are whole number, it is a polynomial Now since there is only one variable y, it is polynomial in one variable. Yes, this expression is a polynomial in one variable y. Ex 2.1, 1 Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (iii) 3โˆš๐‘ก + t โˆš2 3โˆš๐‘ก + t โˆš2 = 3 ๐‘ก^(1/2) + t1 โˆš2 As the power of t is 1/2 , which is not a whole number. Therefore, this expression is not a polynomial. Ex2.1, 1 Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (iv) y + 2/๐‘ฆ y + 2/๐‘ฆ = y1 + 2/๐‘ฆ1 = ๐‘ฆ1 + 2 ๐‘ฆ^(โˆ’1) Power of y is 1 and -1, Since -1 is not a whole number, it is not a polynomial Ex 2.1, 1 Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (v) ๐‘ฅ10 + ๐‘ฆ3 + ๐‘ก50 ๐‘ฅ10 + ๐‘ฆ3 + ๐‘ก50 Here power of equation is 10, 3 and 50. Since all powers are whole number, it is a polynomial Now since there are three variables ๐‘ฅ , ๐‘ฆ & ๐‘ก , it is not polynomial in one variable.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.