Which of the following is a polynomial-a x 2-5 x-4 x-3b x 3 - 2-x-x 1 - 2-1c x-1 xd 2 - 2-33 x-6

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Standard XII

Mathematics

Properties of Determinants

Which of the ...

Question

Which of the following is a polynomial?

(a) $x^{2} - 5 x + 4 \sqrt{x} + 3$
(b) $x^{3 / 2} - x + x^{1 / 2} + 1$
(c) $\sqrt{x} + \frac{1}{\sqrt{x}}$
(d) $\sqrt{2} x^{2} - 3 \sqrt{3} x + \sqrt{6}$

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Solution

(d) is the correct option.
A polynomial in x of degree n is an expression of the form p(x) =a_o+a₁x+a₂x²+...+a_n x_ⁿ, where a_n $\neq$ 0.

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Similar questions

Q. Which of the following is a polynomial?

(a)

x^{2} - 5 x + 6 \sqrt{x} + 2

(b)

x^{3 / 2} - x + x^{1 / 2} + 1

(c)

\sqrt{x} + \frac{1}{\sqrt{x}}

(d) None of these

Which of the following is a polynomial ?

(a) $x^{2} - 5 x + 4 \sqrt{x} + 3$ (b) $x^{\frac{3}{2}} - x + x^{\frac{1}{2}} + 1$

Q. Which of the following expression is a polynomial?
(a)

\sqrt{x} - 1

(b)

\frac{x - 1}{x + 1}

(c)

x^{2} - \frac{2}{x^{2}} + 5

(d)

x^{2} + \frac{2 x^{3 / 2}}{\sqrt{x}} + 6

Q. Which of the following is not a polynomial?

(a)

\sqrt{3} x^{2} - 2 \sqrt{3} x + 5

(b)

9 x^{2} - 4 x + \sqrt{2}

(c)

\frac{3}{2} x^{3} + 6 x^{2} - \frac{1}{\sqrt{2}} x - 8

(d)

x + \frac{3}{x}

Question 1
Which one of the following is a polynomial?

A) $\frac{x^{2}}{2} - \frac{2}{x^{2}}$
B) $\sqrt{2 x} - 1$
C) $x^{2} + \frac{3 x^{\frac{3}{2}}}{\sqrt{x}}$
D) $\frac{x - 1}{x + 1}$

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Which of the following is a polynomial? (a) x2-5x+4x+3 (b) x3/2-x+x1/2+1 (c) x+1x (d) 2x2-33x+6

(d) is the correct option. A polynomial in x of degree n is an expression of the form p(x) =ao +a1x+a2x2 +...+an xn, where an ≠0.

Which of the following is a polynomial?

(a) $x^{2} - 5 x + 4 \sqrt{x} + 3$
(b) $x^{3 / 2} - x + x^{1 / 2} + 1$
(c) $\sqrt{x} + \frac{1}{\sqrt{x}}$
(d) $\sqrt{2} x^{2} - 3 \sqrt{3} x + \sqrt{6}$

(d) is the correct option.
A polynomial in x of degree n is an expression of the form p(x) =a_o+a₁x+a₂x²+...+a_n x_ⁿ, where a_n $\neq$ 0.