Find the leading term of a Polynomial x^2+10xy+25y^2
Learn how to find the Leading Term of a Polynomial x^2+10xy+25y^2 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^2+10xy+25y^2 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^2+10xy+25y^2
The given input is x^2+10xy+25y^2
All you need to do is find the degree of the exponent for each of the parts of the polynomial.
x^2 ---> 2 .
25 y^2 ---> 2 .
10 x y ---> 2 .
Now, select the greatest degree. It is 2 .
The term which has the degree of 2 is ( \mathtt\textx\textasciicircum\2\, \ \mathtt\text25 y\textasciicircum\2\, \ \mathtt\text10 x y) .
Therefore, the leading term of Polynomial x^2+10xy+25y^2 is ( \mathtt\textx\textasciicircum\2\, \ \mathtt\text25 y\textasciicircum\2\, \ \mathtt\text10 x y). Keep in mind that the leading term is the term that has the highest exponent degree.
FAQs on leading term of a Polynomial x^2+10xy+25y^2
1. What is the leading term for a given polynomial x^2+10xy+25y^2?
For the polynomial x^2+10xy+25y^2 the leading term is 'x^2', '25 y^2', '10 x y'.
2. What is the highest degree of polynomia x^2+10xy+25y^2 ?
The highest degree of polynomial x^2+10xy+25y^2 is 2.
2. What is the leading coefficient for a given x^2+10xy+25y^2 polynomial?
The leading coefficient of x^2+10xy+25y^2 is '1', '25', '10'.
3. From where I can find a detailed solution for calculating the leading term of a polynomial x^2+10xy+25y^2?
You can find detailed solution steps for calculating the leading term of a polynomial x^2+10xy+25y^2 from our page.