Which of the following is a binomial ?
(a) $x^{2} + x + 3$
(b) $x^{2} + 4$
(c) $2 x^{2}$
(d) $x + 3 + \frac{1}{x}$

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Solution

ANSWER:
(b) $x^{2} + 4$
Clearly, $x^{2} + 4$ is an expression having two non-zero terms. So, it is a binomial.

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x + 3 + \frac{1}{x}

Which of the following expressions are polynomials?
(i) $x^{2} + 4 + y^{3}$
(ii) $4 - x^{- 1} + z^{3}$
(iii) $2 x^{2} - \frac{2}{x}$

f (x) = \sqrt{x + 3}

g (x) = x^{2} + 1

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x^{2} - 6 | x | + 8 = 0

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x^{3} - x^{2} = (x - 1)^{3}

2 x^{2} + 3 = (5 + x) (2 x - 3)

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