Respuesta :
Answer:
No polynomials are in standered form.
Step-by-step explanation:
Given polynmials are,
[tex]xy^3+4x^5y+10x^3\hfill (1)[/tex]
[tex]x^4y^2+4x^2y+8x-9x^4y^2+4x^3y^5+10x^2\hfill (2)[/tex]
[tex]x^6y^3+4x^4y^8+x^2\hfill (3)[/tex]
To find the polynomial of two variable in standered form we have to write the sum of the degree of each exponent in descending or ascending order.
(1) [tex]xy^3+4x^5y+10x^3[/tex]
where sum of degree of exponents are of the form,
Sum of (degree of x+ degree of y)=[tex](1+3)\to (5+1)\to 3=4\to 6\to 3[/tex]
which is not a descending order or ascending so it is not a standered form.
(2) [tex]x^4y^2+4x^2y+8x-9x^4y^2+4x^3y^5+10x^2[/tex]
where sum of degree of exponents are of the form,
Sum of (degree of x+ degree of y)=[tex](4+2)\to (2+1)\to (1)\to (4+2)\to (3=5)\to 2=6\to 3\to 1\to 6\to 8\to 2[/tex]
which is not a descending or ascending order so it is not a standered form.
(3) [tex]x^6y^3+4x^4y^8+x^2[/tex]
where sum of degree of exponents are of the form,
Sum of (degree of x+ degree of y)=[tex](6+3)\to (8+4)\to 2=9\to 12\to 2[/tex]
which is not a descending or ascending order so it is not a standered form.
