Question

Consider the polynomial:
x/4 -2x^5 +x^3/2+1
Which polynomial represents the standard form of the original polynomial?
A. x^3/2– 2x5 +x/4 + 1
B.–2x5 +x^3/2 +x/4 + 1
C.–2x5 +x/4 + x^3/2 + 1
D.1 – 2x5 + x^3/2 + x/4

Answer 1

Answer:

Step-by-step explanation:

Remember that polynomials involve ONLY integer powers of x.  x^(3/2) does not satisfy that criterion.  

Answer 2

Answer: OPTION B.

Step-by-step explanation:

In order to write a polynomial in Standard form you must arrange the terms by decreasing order of degree.

Then, given the polynomial:

$\frac{x}{4} -2x^5 +\frac{x^3}{2}+1$

You must observe the exponent of each term of the polynomial and then arrange them from highest degree to lowest degree. Then, this polynomial written in Standard form is:

 $-2x^5 +\frac{x^3}{2}+\frac{x}{4}+1$