# What is the standard form of a polynomial 10x^3 + 14x^2 − 4x^4 + x?

May 31, 2016

#### Answer:

Standard form: $- 4 {x}^{4} + 10 {x}^{3} + 14 {x}^{2} + x$

#### Explanation:

Note: I modified the question so that the term $4 x 4$ became $4 {x}^{4}$; I hope this is what was intended.

A polynomial in standard form is arranged so that its terms are in descending degree sequence.

{: ("term",color(white)("XXX"),"degree"), (10x^3,,3), (14x^2,,2), (-4x^4,,4), (x,,1) :}

In descending degree sequence:

{: ("term",color(white)("XXX"),"degree"), (-4x^4,,4), (10x^3,,3), (14x^2,,2), (x,,1) :}

The degree of a term is the sum of the exponents of the variable(s) in the term.