How do you write a polynomial in standard form, then classify it by degree and number of terms 4x^2-3x^3+6x+7?
1 Answer
The expression in standard form is
There are 4 non-zero terms.
The degree is 3.
Explanation:
There are 4 terms. They are
-3x^3 .4x^2 .6x .7 .
A polynomial in standard form should meet the following criteria:
- It should be expressed as a sum of, powers of
x (or any other variable used).
For example, this is in standard form
x^2 - 4x + 3 ,not
(x-1) * (x-3) ,nor
(x-2)^2 - 1 .
- The term with the highest power goes first.
For example, this is in standard form
x^2 - 4x + 3 ,not
3 - 4x + x^2 .
The polynomial
The degree of polynomial is the highest power throughout the polynomial.
Since the powers are in decreasing order for a polynomial, the degree would be the power of the first term, which is a.k.a. the leading term.
The first term is
