\( 1 \leftarrow \quad \) What is the degree of \( 2 x^{6}+3 x^{2}+4 x-9 ? \) The degree of \( 2 x^{6}+3 x^{2}+4 x-9 \) is (Type a whole number.)
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The degree of a polynomial is determined by the highest power of the variable present in it. In the polynomial \( 2x^{6} + 3x^{2} + 4x - 9 \), the term with the highest power is \( 2x^{6} \), which has a degree of 6. Thus, the degree of the polynomial is 6. Just remember, when you’re looking for the degree, it’s always the term with the largest exponent that steals the show! So, keep your eyes peeled for that highest power when analyzing polynomials.