How Do You Write a Polynomial in Standard Form?

By Staff WriterLast Updated Apr 4, 2020 12:06:28 PM ET
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Writing a polynomial in standard form means putting the term with the highest exponent first. The other terms with lower exponents are written in descending order.

An example of a polynomial in standard form is x^8 + 2 x^6 + 4 x^3 + 2x^2 + 3x - 2. In this example, there are terms with exponents and a constant. In the given polynomial, "x" is a variable, and the term "x^8" has the highest exponent, which is 8. This is also called the degree of the polynomial. The next term that follows is "2x ^6," which has the lower exponent of 6. The other terms in this polynomial are in descending order when looking at the exponents.

When writing a polynomial in standard form, it is important to look at each term to identify the exponents from highest to lowest correctly. The constant term, a number by itself, goes last in the standard form of polynomials.