# f(x)=x^5+2x^4+3x^3−2x^6−9x^2−6x+4 Is it true or false the degree of this polynomial

$$\displaystyle{f{{\left({x}\right)}}}={x}^{{5}}+{2}{x}^{{4}}+{3}{x}^{{3}}−{2}{x}^{{6}}−{9}{x}^{{2}}−{6}{x}+{4}$$
Is it true or false the degree of this polynomial function is 5? If not, why? What is the degree?

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Raheem Donnelly
False, because the degree of this polynomial function is the highest degree among the terms, which is $$\displaystyle{6}{\left(-{2}{x}^{{6}}\right)}$$, in this instnance.