Answer:
[tex]4\,x^5+x^3+2x^2-3\\[/tex] which is option (c)
Step-by-step explanation:
The standard form of a polynomial involves writing its terms in decreasing order of their degree. That is: the terms with larger degree are written first, and followed by the terms with lower degree.
In this case the terms of the polynomial are:
[tex]2\,x^2\,,\, x^3\,,\,-3\,,\, and \, 4\,x^5[/tex]
Therefore, the term with largest degree (larger power of x) is [tex]4\,x^5[/tex] (its degree is "5" because the power in the variable x is 5)
the following term according to its degree should be: [tex]x^3[/tex] (its degree is "3" because the power in the variable x is 3)
the next one is [tex]2\,x^2[/tex] (its degree is "2" because the power in the variable x is 2)
the last term is the constant term "-3" (with degree zero since the variable x does not appear in it)
Therefore the standard form of the polynomial comes from rearranging the terms in decreasing order of their degrees as:
[tex]4\,x^5+x^3+2x^2-3\\[/tex]
