Haven

2021-06-04

Determine whether $F(x)=5{x}^{4}-\pi {x}^{3}+\frac{1}{2}$ is a polynomial. If it is, state its degree. If not, say why it is not a polynomial. If it is a polynomial, write it in standard form. Identify the leading term and the constant term.

ensojadasH

Skilled2021-06-05Added 100 answers

Step 1

Given function is,

$F(x)=5{x}^{4}-\pi {x}^{3}+\frac{1}{2}$

The objective is to determine whether F(x) is a polynomial or not. If yes then state its degree, if not then given the reason why it is not a polynomial.

Step 2

Yes, F(x) is a polynomial of degree 4 with leading coefficient 5 and constant term$\frac{1}{2}$ .

Standard form:$F(x)=5{x}^{4}-\pi {x}^{3}+0{x}^{2}+0x+\frac{1}{2}$

Given function is,

The objective is to determine whether F(x) is a polynomial or not. If yes then state its degree, if not then given the reason why it is not a polynomial.

Step 2

Yes, F(x) is a polynomial of degree 4 with leading coefficient 5 and constant term

Standard form:

Jeffrey Jordon

Expert2022-07-06Added 2575 answers

Jeffrey Jordon

Expert2022-08-30Added 2575 answers