Which of the following algebraic expressions is not a polynomial?

\frac{17}{2} x^{2} + x - 3

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\sqrt{7} x^{3} + 3 x^{2 / 3} - 8

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Solution

The correct option is B $\sqrt{7} x^{3} + 3 x^{2 / 3} - 8$
The algebraic expression $\sqrt{7} x^{3} + 3 x^{2 / 3} - 8$ is not a polynomial as there is radical power of x. Means there is a term $3 x^{2 / 3}$ whose power is not an integer.

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Similar questions

Q. Which of the following algebraic expression is a polynomial and which are not.

(i) 3 x^{2} - 5 x

(i i) x + \frac{1}{x}

(i i i) \sqrt{y} - 8

Q. Add the following algebraic expression using both horizontal and vertical methods. Did you get the same answer with both methods

2 x^{2} - 6 x y + 3; - 3 x^{2} - x - 4; 1 + 2 x - 3 x^{2}

Q. Add the following algebraic expression using both horizontal and vertical methods. Did you get the same answer with both methods.

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Which of the following expressions is a polynomial in one variable?
(a) $x + \frac{2}{x} + 3$
(b) $3 \sqrt{x} + \frac{2}{\sqrt{x}} + 5$
(c) $\sqrt{2} x^{2} - \sqrt{3} x + 6$
(d) $x^{10} + y^{5} + 8$

Find which of the following algebraic expression is a polynomial.

(i) $3 x^{2} - 5 x$
(ii) $x + \frac{1}{x}$
(iii) $\sqrt{y} - 8$

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Which of the following algebraic expressions is not a polynomial?

The correct option is B √7x3+3x2/3−8The algebraic expression √7x3+3x2/3−8 is not a polynomial as there is radical power of x. Means there is a term 3x2/3 whose power is not an integer.

The correct option is B $\sqrt{7} x^{3} + 3 x^{2 / 3} - 8$
The algebraic expression $\sqrt{7} x^{3} + 3 x^{2 / 3} - 8$ is not a polynomial as there is radical power of x. Means there is a term $3 x^{2 / 3}$ whose power is not an integer.