Chapter 3 - Polynomial and Rational Functions - Concept and Vocabulary Check: 7

Fill the blanks with $n$ and $1$

Work Step by Step

The Linear Factorization Theorem: If $f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0}$, where $n\geq 1$ and $a_{n}\neq 0$, then $f(x)=a_{n}(x-c_{1})(x-c_{2})\cdots(x-c_{n})$, where $c_{1}, c_{2}, \ldots, c_{n}$ are complex numbers (possibly real and not necessarily distinct). In words: An nth-degree polynomial can be expressed as the product of a nonzero constant and $n$ linear factors, where each linear factor has a leading coefficient of $1$. ----------- Fill the blanks with $n$ and $1$

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