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Find the degree of the polynomial. x^2+3x^8+5x+4x^7+3 The degree is square . (Type a whole number.)

Pergunta

Find the degree of the polynomial.
x^2+3x^8+5x+4x^7+3
The degree is square  . (Type a whole number.)

Find the degree of the polynomial. x^2+3x^8+5x+4x^7+3 The degree is square . (Type a whole number.)

Solução

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ValdirMestre · Tutor por 5 anos

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To find the degree of a polynomial, we need to identify the term with the highest exponent. The given polynomial is:<br /><br />\[<br />x^{2} + 3x^{8} + 5x + 4x^{7} + 3<br />\]<br /><br />Let's examine each term and its corresponding exponent:<br /><br />- \(x^2\) has an exponent of 2.<br />- \(3x^8\) has an exponent of 8.<br />- \(5x\) has an exponent of 1.<br />- \(4x^7\) has an exponent of 7.<br />- The constant term \(3\) can be considered as \(3x^0\), with an exponent of 0.<br /><br />The highest exponent among these terms is 8, which comes from the term \(3x^8\).<br /><br />Therefore, the degree of the polynomial is \(\boxed{8}\).
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