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{{ printedBook.courseTrack.name }} {{ printedBook.name }} When a polynomial is expressed in **standard form**, the monomials that form it, terms, are arranged in decreasing order of degree.
$a_{n}x_{n}+a_{n−1}x_{n−1}+…+a_{2}x_{2}+a_{1}x_{1}+a_{0}x_{0} $
In this form, $n$ is a whole number and the coefficients $a_{n},$ $a_{n−1},$ $…,$ $a_{2},$ $a_{1},$ $a_{0}$ are real numbers. $2x_{4}+3x_{3}+5x_{2}+7x+11 $
The polynomial above is an example of a standard form polynomial of degree $n=4.$ In some cases, it can be useful to remember that *any* polynomial, regardless of degree, can be written in standard form.
$Original:Standard:Standard: x+1−9x_{3}-9x_{3}+x+1-9x_{3}+0x_{2}+x+1 $
In this example, the original expression did not contain an $x_{2}-$term, but it can be expressed in standard form either without that term or with a coefficient of $0.$