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Standard IX

Mathematics

Polynomials

Which of the ...

Question

Which of the following expressions are polynomials in one variable and which are not?
(i) $4 x^{2} - 3 x + 7$
(ii) $y^{2} + \sqrt{2}$
(iii) $3 \sqrt{t} + t \sqrt{2}$

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Solution

(i) Polynomial in one variable x.

(ii) $4 x^{2} - 3 x + 7$
It is a polynomial in one variable, y.

(iii) $3 \sqrt{t} + t \sqrt{2}$ is not a polynomial as power of t in $\sqrt{t}$ is not a whole number.

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Similar questions

Q. Question 1
Which of the following expressions are polynomials in one variable and which are not?
(i)

4 x^{2} - 3 x + 7

(ii)

y^{2} + \sqrt{2}

(iii)

3 \sqrt{t} + t \sqrt{2}

(iv)

y + \frac{2}{y}

(v)

x^{10} + y^{3} + t^{50}

Q. Question 1
Which of the following expressions are polynomials in one variable and which are not?
(i)

4 x^{2} - 3 x + 7

(ii)

y^{2} + \sqrt{2}

(iii)

3 \sqrt{t} + t \sqrt{2}

(iv)

y + \frac{2}{y}

(v)

x^{10} + y^{3} + t^{50}

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

(i) 4 x^{2} - 3 x + 7

(i i) y^{2}

\sqrt{2}

(i i i) 3 \sqrt{t} + t \sqrt{2}

Which of the following expression are polynomials in one variable and which not ? State reason for your answe.
$(i) 4 x^{2} - 3 x + 7$
$(i i) y^{2} + \sqrt{2}$

$(i i i) 3 \sqrt{1} + 1 \sqrt{2}$

$(i v) y + \frac{2}{y}$

Q. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i)

4 x^{2} - 3 x + 7

(ii)

y^{2} + \sqrt{2}

(iii)

3 \sqrt{t} + t \sqrt{2}

(iv)

y + \frac{2}{y}

(v)

x^{10} + y^{3} + t^{50}

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Which of the following expressions are polynomials in one variable and which are not? (i) 4x2−3x+7 (ii) y2+√2 (iii) 3√t+t√2

(i) Polynomial in one variable x. (ii) 4x2−3x+7 It is a polynomial in one variable, y. (iii) 3√t+t√2 is not a polynomial as power of t in √t is not a whole number.

Which of the following expressions are polynomials in one variable and which are not?
(i) $4 x^{2} - 3 x + 7$
(ii) $y^{2} + \sqrt{2}$
(iii) $3 \sqrt{t} + t \sqrt{2}$

(i) Polynomial in one variable x.

(ii) $4 x^{2} - 3 x + 7$
It is a polynomial in one variable, y.

(iii) $3 \sqrt{t} + t \sqrt{2}$ is not a polynomial as power of t in $\sqrt{t}$ is not a whole number.