Factoring Over Multivariable Polynomials Calculator GCF of Polynomial Calculator Factor out the GCF from the Polynomial Calculator Determining if Polynomial is Prime LCM of Polynomials Using GCF Factoring Binomials as sum or difference of cubes Factoring Difference Square Polynomial Calculator Polynomial Root Calculator Factoring Over Complex Numbers Polynomial Equation Solver Calculator Adding Polynomials Calculator Subtracting Polynomials Calculator Multiplying Polynomials Calculator Dividing Polynomials Calculator Polynomial in Ascending Order Calculator Polynomial in Descending Order Calculator Determining if the expression is a Polynomial Degree of a Polynomial Calculator Leading Term of a Polynomial Calculator

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

Determine Leading Term of Polynomial:

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.