Determine whether F(x)=5x^{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.

Cem Hayes

Cem Hayes

Answered question

2021-08-04

Determine whether F(x)=5x4π x3+12 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.

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-08-05Added 97 answers

Step 1
Given function is,
F(x)=5x4π x3+12
The objective is to determine whether F(x) is a polynomial or not. If yes then state its degree, if not then give the reason why it is not a polynomial.
Step 2
F(x) is a polynomial of degree 4 with leading coefficient 5 and constant term 12.
Standard form: F(x)=5x4π x3+0x2+0x+12

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