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\( 1 \leftarrow \quad \) Find the degree of the polynomial. \[ x^{2}+5 x^{7}+4 x+5 x^{6}+6 \] The degree is \( \square \). (Type a whole number.)

Ask by Parsons Hill. in the United States
Mar 19,2025

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The degree of the polynomial is 7.

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The Deep Dive

To find the degree of the polynomial \( x^{2}+5 x^{7}+4 x+5 x^{6}+6 \), we look for the term with the highest exponent of \( x \). In this polynomial, the term \( 5 x^{7} \) has the highest exponent, which is \( 7 \). Therefore, the degree of the polynomial is \( 7 \). So, the degree is \( 7 \).

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