Question

Which of the following expressions are polynomials in one variable?

(1)$4x^2-3x+7$

(2)$y^2+\sqrt{2}$

(3)$y+\frac{2}{y}$

(4)$x^{10}+y^3+t^{50}$

• A. 2 & 3
• B. 1, 2 & 3
• C. 1 and 2
• D. 2 and 3

Answer 1

The correct option is C

1 and 2

Polynomial is an expression with power of the variables to be a whole numbers

Expressions that have only one variable with degree of variable as a whole numbers are polynomials in one variable.

(1)$4x^2-3x+7$ $\to$ x is the variable with degree 2

(2)$y^2+\sqrt{2}$ $\to$ y is the variable with degree 2

(3)$y+\frac{2}{y}$ $\to$ y is the variable with power – 1 $\Rightarrow$ not a polynomial

(4)$x^{10}+y^3+t^{50}$ $\to$ 3 variables