I'm following the proof of the Factor theorem in here but I don't understand how $\deg(X-r) = 1$.
Proof of Factor Theorem
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abstract-algebra
polynomials
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1Keep in mind that the degree of a polynomial (in $x$) is the highest power of $x$ that appears. What is the highest power of $x$ in the polynomial $x-r$? – 2012-07-13
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0The [Wikipedia article on the degree of a polynomial](http://en.wikipedia.org/wiki/Degree_of_a_polynomial) might help. – 2012-07-13