SBP-Program

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How to write a polynomial in standard form?

Standard form of polynomial definition

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.

The following simple examples will clarify it.

Write a polynomial in standard form

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 + 7a2

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

And now it is in standard form:

7a2 + 2a