High School

Write the polynomial in standard form: \(30 + 4s - 5s^5 + 6s^7\). Then find its degree and the leading coefficient.

A. Polynomial in standard form: \(6s^7 - 5s^5 + 4s + 30\), Degree: 7, Leading coefficient: 6
B. Polynomial in standard form: \(6s^7 + 5s^5 - 4s - 30\), Degree: 7, Leading coefficient: 6
C. Polynomial in standard form: \(6s^7 + 5s^5 + 4s + 30\), Degree: 5, Leading coefficient: 5
D. Polynomial in standard form: \(6s^7 - 5s^5 + 4s - 30\), Degree: 7, Leading coefficient: 6

Answer :

Final answer:

The given polynomial in standard form is (6s⁷ - 5s⁵ + 4s + 30). The degree of this polynomial is 7, and the leading coefficient is 6.

Explanation:

The polynomial given in the question is (30 + 4s - 5s⁵ + 6s⁷). In standard form, a polynomial should be written from highest degree to lowest degree. Therefore, the polynomial in standard form is (6s⁷ - 5s⁵ + 4s + 30).

The degree of a polynomial is the highest power in the polynomial equation. In this case, the highest power is 7. Therefore, the degree of this polynomial is 7.

The leading coefficient is the coefficient of the term with the highest power. In this polynomial, the term with the highest power is 6s⁷ and so the leading coefficient is 6.

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