Fill in the blank(s) to correctly complete each sentence. A polynomial function with leading term 3x⁵ has degree ____.

검증된 단계별 안내

Recall that the degree of a polynomial function is the highest power of the variable in the polynomial.

Identify the leading term of the polynomial, which is the term with the highest exponent on the variable.

In this problem, the leading term is given as \$3x^{5}$, where the exponent on $x$ is 5.

Therefore, the degree of the polynomial function is the exponent of the leading term, which is 5.

Fill in the blank with the number 5 to complete the sentence: "A polynomial function with leading term \$3x^{5}$ has degree 5."

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

48s

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Polynomial Function

A polynomial function is an expression consisting of variables and coefficients combined using only addition, subtraction, multiplication, and non-negative integer exponents. For example, 3x^5 + 2x^3 - 7 is a polynomial function.

Leading Term

The leading term of a polynomial is the term with the highest power of the variable, which determines the polynomial's end behavior. In 3x^5 + 2x^3, the leading term is 3x^5.

Degree of a Polynomial

The degree of a polynomial is the highest exponent of the variable in the polynomial. It indicates the polynomial's overall degree and influences its graph's shape. For example, the degree of 3x^5 is 5.

Fill in the blank(s) to correctly complete each sentence. A polynomial function with leading term 3x5 has degree ____.