Answered

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standard form, degree, leading coefficient, constant term of f(x) = 2x³/3 + 5/3 + 15x
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Sagot :

Yutanakamotoidn

Answer:

Standard Form: f(x) = 2x³ + 15x + 5/3

Degree: 3

Leading Coefficient: 2

Constant Term: 5/3

RobbieRavenclawidn

Answer:

Given Function

  • [tex]\LARGE\text{$f(x)=\frac{2}{3}x^3+\frac{5}{3}+15x$}[/tex]

Standard Form

  • [tex]\LARGE\text{$f(x)=\frac{2}{3}x^3+15x+\frac{5}{3}$}[/tex]

Degree

  • [tex]\LARGE\text{$3$}[/tex]

Leading Coefficient

  • [tex]\LARGE\text{$\frac{2}{3}$}[/tex]

Constant Term

  • [tex]\LARGE\text{$\frac{5}{3}$}[/tex]

The function is in its standard form when the degrees are decreasing. The degrees of the given function is 3, 0, and 1. We have to make it 3, 1, and 0. Just move the linear term in the middle and the constant term at the last.

The Degree is the highest degree in the function. The degrees in the given function are 3, 1, and 0. The highest degree is 3.

The leading coefficient is connected in the degree. The leading coefficient is and will always be with the highest degree of polynomial.

The constant term has and will always has 0 degree of polynomial.

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