1. `3x^7-6x^5`, find Leading term of a polynomial

Solution:
The Given Polynomial `=3x^7-6x^5`


Identify the degree of each terms

The degree of term `3x^7` is `7`

The degree of term `-6x^5` is `5`

The term, that has the highest degree, gives the degree of polynomial.
`:.` Degree of polynomial `=7`

The leading term in a polynomial is the highest degree term
`:.` Leading term `=3x^7`

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2. `7x-x^4`, find Leading term of a polynomial

Solution:
The Given Polynomial `=7x-x^4`

`=-x^4+7x`


Identify the degree of each terms

The degree of term `-x^4` is `4`

The degree of term `7x` is `1`

The term, that has the highest degree, gives the degree of polynomial.
`:.` Degree of polynomial `=4`

The leading term in a polynomial is the highest degree term
`:.` Leading term `=-x^4`

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3. `x^3-2x^2-x+2`, find Leading term of a polynomial

Solution:
The Given Polynomial `=x^3-2x^2-x+2`


Identify the degree of each terms

The degree of term `x^3` is `3`

The degree of term `-2x^2` is `2`

The degree of term `-x` is `1`

The degree of term `2` is `0`

The term, that has the highest degree, gives the degree of polynomial.
`:.` Degree of polynomial `=3`

The leading term in a polynomial is the highest degree term
`:.` Leading term `=x^3`

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4. `6x^3y^6+2xy+x^4`, find Leading term of a polynomial

Solution:
The Given Polynomial `=6x^3y^6+2xy+x^4`

`=x^4+6x^3y^6+2xy`

Degree of multivariate polynomial : `x^4+6x^3y^6+2xy`


Identify the total degree of each terms

The degree of term `x^4` is `4`

The degree of term `6x^3y^6` is `9`

The degree of term `2xy` is `2`

The term, that has the highest degree, gives the degree of polynomial.
`:.` Degree of polynomial `=9`

The leading term in a polynomial is the highest degree term
`:.` Leading term `=6x^3y^6`

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