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

Explanation:

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

Answer 2

Answer: OPTION B.

Explanation:

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

Then, given the polynomial:

`(x)/(4) -2x^5 +(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 +(x^3)/(2)+(x)/(4)+1`