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Answer :
Certainly! Let's analyze the given polynomial function and address each part of the question:
The polynomial function provided is:
[tex]\[ f(x) = 5x^3 + 2 \][/tex]
19. Leading Coefficient:
To find the leading coefficient, we look at the term with the highest degree in the polynomial. In this case, the term with the highest degree is [tex]\(5x^3\)[/tex]. The leading coefficient is the coefficient of this term, which is [tex]\(5\)[/tex].
20. Type:
The type of the polynomial is determined by the degree of the polynomial. The degree is the highest power of [tex]\(x\)[/tex] in the polynomial. Since the highest power of [tex]\(x\)[/tex] in this polynomial is [tex]\(3\)[/tex], it is a cubic polynomial.
21. Name:
The name of the polynomial is based on its degree as well. Since the polynomial is of degree [tex]\(3\)[/tex], it is commonly known as a "Cubic Polynomial."
In summary:
- The leading coefficient is [tex]\(5\)[/tex].
- The type of the polynomial is "Cubic."
- The name of the polynomial is "Cubic Polynomial."
The polynomial function provided is:
[tex]\[ f(x) = 5x^3 + 2 \][/tex]
19. Leading Coefficient:
To find the leading coefficient, we look at the term with the highest degree in the polynomial. In this case, the term with the highest degree is [tex]\(5x^3\)[/tex]. The leading coefficient is the coefficient of this term, which is [tex]\(5\)[/tex].
20. Type:
The type of the polynomial is determined by the degree of the polynomial. The degree is the highest power of [tex]\(x\)[/tex] in the polynomial. Since the highest power of [tex]\(x\)[/tex] in this polynomial is [tex]\(3\)[/tex], it is a cubic polynomial.
21. Name:
The name of the polynomial is based on its degree as well. Since the polynomial is of degree [tex]\(3\)[/tex], it is commonly known as a "Cubic Polynomial."
In summary:
- The leading coefficient is [tex]\(5\)[/tex].
- The type of the polynomial is "Cubic."
- The name of the polynomial is "Cubic Polynomial."
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