Question

Choose the polynomial that is written in standard form. (1 point) Group of answer choices xy3 + 4x5y + 10x3 x4y2 + 4x2y + 8x −9x4y2 + 4x3y5 + 10x2 x6y3 + 4x4y8 + x2

Answer 1

No polynomials are in standered form.

Explanation:

Given polynmials are,

`xy^3+4x^5y+10x^3\hfill (1)`

`x^4y^2+4x^2y+8x-9x^4y^2+4x^3y^5+10x^2\hfill (2)`

`x^6y^3+4x^4y^8+x^2\hfill (3)`

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)
`xy^3+4x^5y+10x^3`

where sum of degree of exponents are of the form,

Sum of (degree of x+ degree of y)=
`(1+3)\to (5+1)\to 3=4\to 6\to 3`

which is not a descending order or ascending so it is not a standered form.

(2)
`x^4y^2+4x^2y+8x-9x^4y^2+4x^3y^5+10x^2`

where sum of degree of exponents are of the form,

Sum of (degree of x+ degree of y)=
`(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`

which is not a descending or ascending order so it is not a standered form.

(3)
`x^6y^3+4x^4y^8+x^2`

where sum of degree of exponents are of the form,

Sum of (degree of x+ degree of y)=
`(6+3)\to (8+4)\to 2=9\to 12\to 2`

which is not a descending or ascending order so it is not a standered form.