Which of the following expressions are polynomials in one variable and

1.	Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. (i) 4x2 – 3x + 7 (ii) y2 + √2(iii) 3√t + t√2(iv) y + \(\frac{2}{y}\)(v) x10 + y3 + t50
Answer» (i) 4x² – 3x + 7 Here polynomial has one variable, i.e. x (ii) y² + √2 Here polynomial has one variable, i.e. y (iii) 3√t + t√2 This is polynmomial with one variable, because T is only one variable. (iv) y + \(\frac{2}{y}\) Here polynomial has one variable, ie. y. (v) x¹⁰ + y³ + t⁵⁰ This polynomial is not having one variable because here 3 variables means ‘x’, y and ‘t’ are there.

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. (i) 4x2 – 3x + 7 (ii) y2 + √2(iii) 3√t + t√2(iv) y + \(\frac{2}{y}\)(v) x10 + y3 + t50

Answer»

(i) 4x² – 3x + 7

Here polynomial has one variable, i.e. x

(ii) y² + √2

Here polynomial has one variable, i.e. y

(iii) 3√t + t√2

This is polynmomial with one variable, because T is only one variable.

(iv) y + \(\frac{2}{y}\)

Here polynomial has one variable, ie. y.

(v) x¹⁰ + y³ + t⁵⁰

This polynomial is not having one variable because here 3 variables means ‘x’, y and ‘t’ are there.