6x^(2)+7x^(3)+8x^(5)+9 What is the degree of the polynomial?

Identifying the highest power: The degree of a polynomial is the highest power of the variable x that appears in the polynomial with a non-zero coefficient. To find the degree, we need to identify the term with the highest exponent of x.Analyzing the given polynomial: Looking at the given polynomial 6x^(2)+7x^(3)+8x^(5)+9, we can see that the terms are 6x^(2), 7x^(3), 8x^(5), and 9. The term 9 is a constant term and does not affect the degree of the polynomial.Determining the degree: The term with the highest exponent of x is 8x^(5). Therefore, the degree of the polynomial is 5.

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6x^(2)+7x^(3)+8x^(5)+9
What is the degree of the polynomial?

$6x^{2}+7x^{3}+8x^{5}+9$ $\newline$ What is the degree of the polynomial?

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

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6x^{2}+7x^{3}+8x^{5}+9

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What is the degree of the polynomial?

Identifying the highest power: The degree of a polynomial is the highest power of the variable $x$ that appears in the polynomial with a non-zero coefficient. To find the degree, we need to identify the term with the highest exponent of $x$ .
Analyzing the given polynomial: Looking at the given polynomial $6x^{2}+7x^{3}+8x^{5}+9$ , we can see that the terms are $6x^{2}$ , $7x^{3}$ , $8x^{5}$ , and $9$ . The term $9$ is a constant term and does not affect the degree of the polynomial.
Determining the degree: The term with the highest exponent of x is $8x^{5}$ . Therefore, the degree of the polynomial is $5$ .