Question

# Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: (i) 3x2 − 4x + 15 (ii) y2 + 2$\sqrt{3}$ (iii) $3\sqrt{x}+\sqrt{2}x$ (iv) $x-\frac{4}{x}$ (v) x12 + y3 + t50

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Solution

## (i) is a polynomial of degree 2.i.e Quadratic polynomial. (ii) is a polynomial of degree 2 in y variable. i.e. Quadratic polynomial. (iii) It is not a polynomial because exponent of x is 1/2 which is not a positive integer. (iv) It is not a polynomial because is fractional part. (v) It is a polynomial in three variables x, y and t.

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