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
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Ex 2.1, 1 Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4π‘₯2 – 3π‘₯ + 7 4π‘₯2 – 3π‘₯ + 7 = 4π‘₯2 – 3π‘₯1 + 7 π‘₯0 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 variableΒ 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 + √2Β  y2 + √2Β  = y2+ √2Β 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 variableΒ 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) 3βˆšπ‘‘ + t √2Β  Β  3βˆšπ‘‘ + t √2Β  Β  = 3 𝑑^(1/2) + t1 √2Β  Β  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)Β y + 2/𝑦 y + 2/𝑦 = y1 + 2/𝑦1 = 𝑦1 + 2 𝑦^(βˆ’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)Β π‘₯10 + 𝑦3 + 𝑑50 π‘₯10 + 𝑦3 + 𝑑50 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 π‘₯ , 𝑦 & 𝑑 , 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.