Question

How do you identify the terms in the polynomial expression, $6{{x}^{3}}-5x+2$ and give the degree of each term?

Answer 1

Hint: Here in this question we have been asked to identify the terms in the given polynomial expression $6{{x}^{3}}-5x+2$ and the degree of each term. A term in a polynomial expression consists of a number multiplied by variables raised to a positive exponent. The degree of a term in a polynomial expression is the sum of the exponents of the variables that appear in it.

Complete step by step solution:
Now considering from the question we have been asked to identify the terms in the given polynomial expression $6{{x}^{3}}-5x+2$ and the degree of each term.
From the basic concepts we know that a term in a polynomial expression consists of a number multiplied by variables raised to a positive exponent.
Hence the terms in the given expression will be $6{{x}^{3}},-5x,2$ .
The degree of a term in a polynomial expression is defined as the sum of the exponents of the variables that appear in it. Degree of a term can never be a negative number.
The degree of $6{{x}^{3}}$ is $3$ .
The degree of $-5x$ is $1$ .
The degree of $2$ is $0$ .

Note: During answering this type of questions our concepts should be clear. This is an easy and simple question that can be answered in a short span of time. Very few mistakes are possible in this question. The order of a polynomial expression is defined as the highest degree of its terms. We should be clear with these two definitions. Degree is for a term and order is for the expression.