Answer:
Standard form \(4x^3-3x+6\)
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 \(6-2x^3-3x+6x^3\)
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 \(6-2x^3-3x+6x^3\)
We first simplify the given polynomial by adding like terms,
LIKE TERMS are term having same variable with same power.
Here, \(-2x^3 \ and\ 6x^3\) are like terms,
Thus adding both we get, \(4x^3\)
Thus, polynomial becomes, \(6+4x^3-3x\)
In standard form, terms are arranged in decreasing order of power of variables.
\(6+4x^3-3x\) can be written as \(4x^3-3x+6\)
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.
