Which of the following expressions is a polynomial in one variable-a x-2 x-3b 3 x-2 x-5c 2 - 2-3 x-6d x10-y5-8

(c) 2x2 #160; #160;3x #160;+ #160;6 Clearly, 2x2 3x+6 nbsp;is a polynomial in one variable because it has only non negative integral powers of nbs ...

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Standard IX

Mathematics

Polynomials

Which of the ...

Question

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) x¹⁰ + y⁵ + 8

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Solution

(c) $\sqrt{2} x^{2} - \sqrt{3} x + 6$

Clearly, $\sqrt{2} x^{2} - \sqrt{3} x + 6$ is a polynomial in one variable because it has only non-negative integral powers of x.

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Similar questions

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) $x^{10} + y^{5} + 8$

Q. Mark (✓) against the correct answer in each of the following:
Which of the following is a polynomial in one variable?
(a) x² + x⁻²
(b)

\sqrt{3 x} + 9

(c)

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

(d)

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

Which of the following is not a quadratic equation?
(a) $3 x - x^{2} = x^{2} + 5$
(b) $(x + 2)^{2} = 2 (x^{2} - 5)$
(c) $(2 x + 3)^{2} = 2 x^{2} + 6$
(d) $(x - 1)^{2} = 3 x^{2} + x - 2$

Which of the following expressions are polynomials in one variable?

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

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

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

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

Find the polynomial p (x) = a x + b such that p (1) = 2 & p (2) = 5.

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Which of the following expressions is a polynomial in one variable? (a) x+2x+3 (b) 3x+2x+5 (c) 2x2 - 3x + 6 (d) x10 + y5 + 8

(c) 2x2 - 3x + 6 Clearly, 2x2-3x+6 is a polynomial in one variable because it has only non-negative integral powers of x.

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) x¹⁰ + y⁵ + 8

(c) $\sqrt{2} x^{2} - \sqrt{3} x + 6$

Clearly, $\sqrt{2} x^{2} - \sqrt{3} x + 6$ is a polynomial in one variable because it has only non-negative integral powers of x.