Question

homework assignment 5.2 power functions and polynomial functions
due friday by 11:59pm points 10 submitting an external tool
homework assignment 5.2 power functions and polynomial functions
score: 1/10 answered: 1/10
question 2
find the degree, leading coefficients, and the maximum number of real zeros of the polynomial.
f(x)=4x^7 - 3x^5+3 - 4x^8
degree =
leading coefficient =
maximum number of real zeros =
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Explanation:

Step1: Identify the degree

The degree of a polynomial is the highest power of the variable. In \(f(x)=4x^{7}-3x^{5}+3 - 4x^{8}\), the powers are 7, 5, 0 (for the constant 3), and 8. The highest power is 8.

Step2: Identify the leading coefficient

The leading - coefficient is the coefficient of the term with the highest power. The term with the highest power is \(-4x^{8}\), so the leading coefficient is - 4.

Step3: Determine the maximum number of real zeros

The maximum number of real zeros of a polynomial is equal to its degree. Since the degree is 8, the maximum number of real zeros is 8.

Answer:

Degree = 8
Leading Coefficient = - 4
Maximum number of real zeros = 8