Question

Is The Function a Polynomial function??

Answer 1

we are given

`f(x)=5x^2-3x^4+(3)/(4) x-7`

Degree:

It is the highest exponent of polynomial

we can see that highest exponent is 4

so, degree=4

Leading coefficient:

It is the constant term multiplied to highest degree term

Here, we have

-3x^4

-3 is multiplied

so, leading coefficient is -3

so, option-C...........Answer

Answer 2

In the given function all exponents are non-negative

The denominator doesn't contain a variable

The coefficients can be rational numbers or radicals, so do not let that confuse you.

We can rewrite as

`f(x)=-3x^4 +5x^2 +(3)/(4)x-7`

The function is a polynomial the leading coefficient is -3 and the degree is 4..

The degree of the polynomial is the highest degree.

The correct answer is C.