Find the leading term of a Polynomial x^2y^2-12xy+36
Learn how to find the Leading Term of a Polynomial x^2y^2-12xy+36 in the following sections. Follow the thorough guide below and you will be able to easily find the leading term of any polynomial. The leading term of polynomial x^2y^2-12xy+36 is .
Ex: x^5+x^5+1+x^5+x^3+x (or) x^5+3x^5+1+x^6+x^3+x (or) x^3+x^5+1+x^3+x^3+x
Use '^' symbol to represent Power Sign
Detailed Solution for determining the leading term of a polynomial x^2y^2-12xy+36
The given input is x^2y^2-12xy+36
All you need to do is find the degree of the exponent for each of the parts of the polynomial.
36 ---> 0 .
x^2 y^2 ---> 4 .
- 12 x y ---> 2 .
Now, select the greatest degree. It is 4 .
The term which has the degree of 4 is \mathtt\textx\textasciicircum\2\ y\textasciicircum\2\ .
Therefore, the leading term of Polynomial x^2y^2-12xy+36 is \mathtt\textx\textasciicircum\2\ y\textasciicircum\2\. Keep in mind that the leading term is the term that has the highest exponent degree.
FAQs on leading term of a Polynomial x^2y^2-12xy+36
1. What is the leading term for a given polynomial x^2y^2-12xy+36?
For the polynomial x^2y^2-12xy+36 the leading term is 'x^2 y^2'.
2. What is the highest degree of polynomia x^2y^2-12xy+36 ?
The highest degree of polynomial x^2y^2-12xy+36 is 2.
2. What is the leading coefficient for a given x^2y^2-12xy+36 polynomial?
The leading coefficient of x^2y^2-12xy+36 is '1'.
3. From where I can find a detailed solution for calculating the leading term of a polynomial x^2y^2-12xy+36?
You can find detailed solution steps for calculating the leading term of a polynomial x^2y^2-12xy+36 from our page.