Pergunta

Find the degree of the polynomial. x^2+7x^8+5x+9x^4+8 __
Solução

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SebastianaElite · Tutor por 8 anos
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To determine the degree of a polynomial, we need to identify the term with the highest exponent of the variable \( x \).<br /><br />Given the polynomial:<br />\[<br />x^{2} + 7x^{8} + 5x + 9x^{4} + 8<br />\]<br /><br />Let's list out each term along with its corresponding exponent:<br />- \( x^2 \) has an exponent of 2.<br />- \( 7x^8 \) has an exponent of 8.<br />- \( 5x \) has an exponent of 1.<br />- \( 9x^4 \) has an exponent of 4.<br />- \( 8 \) is a constant term and can be considered as \( 8x^0 \) with an exponent of 0.<br /><br />Among these exponents (2, 8, 1, 4, 0), the highest exponent is 8.<br /><br />Therefore, the degree of the polynomial \( x^{2} + 7x^{8} + 5x + 9x^{4} + 8 \) is:<br />\[<br />\boxed{8}<br />\]
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