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Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 15, 2023

Learn how to find the Leading Term of a Polynomial x^2+14xy+49y^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+14xy+49y^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+14xy+49y^2

The given input is x^2+14xy+49y^2

All you need to do is find the degree of the exponent for each of the parts of the polynomial.

x^2 ---> 2 .

49 y^2 ---> 2 .

14 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\text49 y\textasciicircum\2\, \ \mathtt\text14 x y) .

Therefore, the leading term of Polynomial x^2+14xy+49y^2 is ( \mathtt\textx\textasciicircum\2\, \ \mathtt\text49 y\textasciicircum\2\, \ \mathtt\text14 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+14xy+49y^2

1. What is the leading term for a given polynomial x^2+14xy+49y^2?

For the polynomial x^2+14xy+49y^2 the leading term is 'x^2', '49 y^2', '14 x y'.

2. What is the highest degree of polynomia x^2+14xy+49y^2 ?

The highest degree of polynomial x^2+14xy+49y^2 is 2.

2. What is the leading coefficient for a given x^2+14xy+49y^2 polynomial?

The leading coefficient of x^2+14xy+49y^2 is '1', '49', '14'.

3. From where I can find a detailed solution for calculating the leading term of a polynomial x^2+14xy+49y^2?

You can find detailed solution steps for calculating the leading term of a polynomial x^2+14xy+49y^2 from our page.