Question

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

Answer 1

Standard form: `-4x^4+10x^3+14x^2+x`

Explanation:

Note: I modified the question so that the term `4x4` became `4x^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.