Given:
The polynomial is
[tex]4x+2x^5-6x^3+2[/tex]
To find:
The standard form of the polynomial and leading coefficient.
Solution:
In standard form of a polynomial, we arrange the terms in descending order of their degrees.
Leading coefficient is the constant value before the variable with highest power.
Let the given polynomial be p(x).
[tex]p(x)=4x+2x^5-6x^3+2[/tex]
The standard form of the polynomial is
[tex]p(x)=2x^5-6x^3+4x+2[/tex]
The highest power of x is 5 and 2 is before [tex]x^5[/tex]. The leading coefficient is 2.
Therefore, the standard form of the polynomial is [tex]2x^5-6x^3+4x+2[/tex] and the leading coefficient is 2.
