What is the degree of the polynomial $x^{5} + 1 - 3 x^{4} + 3 x^{9} - 2 x$ $x^5 + 1 - 3x^4 + 3x^9 - 2x$ ?

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What is the degree of the polynomial $x^{5} + 1 - 3 x^{4} + 3 x^{9} - 2 x$ $x^5 + 1 - 3x^4 + 3x^9 - 2x$ ?

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Answer 1 · 2015-05-12T18:46:56

This polynomial has a degree of 9.

The degree of a polynomial is the highest power of the unknown with a non-zero coeficient.
This expresion has unknown x raised to the 5th, 4th, 9th and 1st power $(x = x^{1})$ $(x=x^1)$ with coeficients of : 1,-3,+3 and -2 respectively. So the highest power (i.e. the degree of the polynomial) is 9.

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What is the degree of the polynomial $x^{5} + 1 - 3 x^{4} + 3 x^{9} - 2 x$ $x^5 + 1 - 3x^4 + 3x^9 - 2x$ ?

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What is the degree of the polynomial x^5 + 1 - 3x^4 + 3x^9 - 2xx5+1−3x4+3x9−2xx^5 + 1 - 3x^4 + 3x^9 - 2x?

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What is the degree of the polynomial $x^{5} + 1 - 3 x^{4} + 3 x^{9} - 2 x$ $x^5 + 1 - 3x^4 + 3x^9 - 2x$ ?