Question

which of the following is a trinomial in variable x?explain.
$x {}^{3} + {x}^{2}$
${x}^{3} + 1$
${x}^{3} + 3x$
$\sqrt[x]{x {}^{2} } + \sqrt[]{x{ }^{2} } + 7$
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Answer 1

Answer:

The last option is a trinomial in variable x.

Step-by-step explanation:

The no. of terms separated by '+' or '-' signs in an expression determines whether the given expression is a monomial, or a binomial, or a trinomial and so on. That is, if there is only one term present in an expression, then it is a monomial, if there are two terms present in an expression separated by '+' or '-' signs, then it is a binomial, if there are three terms present in an expression separated by '+' or '-' signs, then it is a trinomial and so on. Thus, as we can see that the no. of terms separated by '+' or '-' signs is three, so we can conclude that the last option is a trinomial.

Hope this helps.