Question

Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient. Please help quickly!!!

Answer 1

Answer: it is a polynomial with a degree of 4, leading coefficient of 4, and it is also called a quartic polynomial.

Step-by-step explanation:

Order the function by the powers on the exponents:

4x^4 - 4x ^2 + 1/7x -1 is standard form

Answer 2

Yes, Given function is polynomial function.

Standard form is,  $f(x)=4x^{4}-4x^{2} +\frac{1}{7}x-1$

Degree of polynomial is 4.

Leading coefficient is 4.

Polynomial is defined as a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non-negative integral power .

Given polynomial is,

         $f(x)=\frac{1}{7}x-4x^{2} +4x^{4} -1$

Standard form is,  $f(x)=4x^{4}-4x^{2} +\frac{1}{7}x-1$

Highest power of variable is known as degree.

So that , degree is 4

The coefficient of highest power variable is known as leading coefficient.

So that, leading coefficient is 4.

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