Which Of The Following Is A Trinomial? C2 + C + 6, C2 - 16, - 8c, C3 + 4c2

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Solution:

To understand what a monomial is we have to define what a polynomial is.

A function p is a polynomial:

p(x) = \(a_{n}x^{n} + a_{n-1}x^{n-1} + a_{n-2}x^{n-2}+.........+ a_{1}x^{} + a_{0}\)

Where n is a non-negative integer and the numbers \(a_{0}, a_{1}, a_{2},....., a_{n}\) are real constants (called the coefficients of the polynomial).

All polynomials have domain (\(- \infty, \infty\)), \(a_{n} \neq\) 0 and n > 0, then n is called the degree of the polynomial.

Amongst the alternatives only c2 + c + 6 has three terms and its degree is 2.

The rest of alternatives comprise one, or two or four terms (including the constant).

Therefore c2 + c + 6 is a trinomial.

Which of the following is a trinomial? c2 + c + 6, c2 - 16, - 8c, c3 + 4c2 - 12c + 7

Summary:

Amongst the above alternatives, c2 + c + 6 is a trinomial.

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