Answer:
Standard form [tex]4x^3-3x+6[/tex]
Name the polynomial based on its degree is cubic polynomial
Name the polynomial based on number of terms is trinomial.
Step-by-step explanation:
Consider the given polynomial [tex]6-2x^3-3x+6x^3[/tex]
We have to write the polynomial in standard form and Then name the polynomial based on its degree and number of terms.
Consider the given polynomial [tex]6-2x^3-3x+6x^3[/tex]
We first simplify the given polynomial by adding like terms,
LIKE TERMS are term having same variable with same power.
Here, [tex]-2x^3 \ and\ 6x^3[/tex] are like terms,
Thus adding both we get, [tex]4x^3[/tex]
Thus, polynomial becomes, [tex]6+4x^3-3x[/tex]
In standard form, terms are arranged in decreasing order of power of variables.
[tex]6+4x^3-3x[/tex] can be written as [tex]4x^3-3x+6[/tex]
Thus, the given polynomial has highest power of 3 so its a cubic polynomial on the basis of degree.
and Since, it consist of three terms so it is a trinomial on the basis of number of terms.
