Last updated at May 29, 2018 by Teachoo

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) 4π₯2 β 3π₯ + 7 4π₯2 β 3π₯ + 7 = 4π₯2 β 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 + β2Β y2 + β2Β = y2+ β2Β 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) 3βπ‘ + t β2Β Β 3βπ‘ + t β2Β Β = 3 π‘^(1/2) + t1 β2Β 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/π¦ y + 2/π¦ = y1 + 2/π¦1 = π¦1 + 2 π¦^(β1) 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 + π¦3 + π‘50 π₯10 + π¦3 + π‘50 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₯ , π¦ & π‘ , it is not polynomial in one variable.

About the Author

Davneet Singh

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.