Answer:
C) [tex]-3x^8y^2+9x^2y+10x^2[/tex]
Step-by-step explanation:
Since, a polynomial having the descending order of degrees of the monomial is called the standard polynomial,
Also, the degree of a term in the polynomial is the total sum of the power of all variable in that term,
In option a),
[tex]2x^2y^2 + 3x^4y + 10x^6[/tex]
Order of degree is,
4, 5, 6
Which is not in the descending order,
⇒ It is not a standard polynomial.
In option b),
[tex]4x4y^2 + 6x^3y^5 + 10x[/tex]
Order of degree is,
5, 8, 1
Which is not in the descending order,
⇒ It is not a standard polynomial.
In option c),
[tex]-3x^8y^2 + 9x^2y + 10x^2[/tex]
Order of degree is,
11, 3, 2
Which is in the descending order,
⇒ It is a standard polynomial.
In option d),
[tex]-7x^6y^2 + x^3y^8 + 10x^2[/tex]
Order of degree is,
8, 11, 2
Which is not in the descending order,
⇒ It is not a standard polynomial.
