As it is known a polynomial consists of the sum of monomials.

A polynomial is in standard form if:

1. it does not contain like terms (monomials);

2. the polynomial terms (monomials) are written by descending degree.

2. the polynomial terms (monomials) are written by descending degree.

The following simple examples will clarify it.

Is the polynomial in standard form?

2a + 7a + 5b

No, the polynomial is not in standard form. Why? It has got two like terms: 2a and 7a.

We add the like terms and get the polynomial in standard form:

9a + 5b

Next example.

Is the polynomial in standard form?

2a + 7a^{2}

No, the polynomial is not in standard form. Why? Its terms are not written by descending degree.

And now it is in standard form:

7a^{2} + 2a