Which of the following is/are multinomial(s)?

$3 x + 1$

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$4 a b \times c$

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$4 + 3 y^{4} + 2 y^{2} + 8 y$

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$2 x^{2} + 4 x + 5$

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Solution

The correct options are
A
$3 x + 1$

C
$4 + 3 y^{4} + 2 y^{2} + 8 y$

D
$2 x^{2} + 4 x + 5$

An algebraic expression with two or more than two terms is called a multinomial.

Note that, option (b), which is $4 a b \times c$ , is nothing but $4 a b c$ , which is a monomial.

$3 x + 1$ , $4 + 3 y^{4} + 2 y^{2} + 8 y$ and $2 x^{2} + 4 x + 5$ have 2, 4 and 3 terms respectively and hence are multinomials.

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