Question

Jullian fully simplifies this polynomial and then writes it in standard form. 4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2 if jullian wrote the last term as -3x^4, which must be the first term of his polynomial in standard form?

A. 4y^4
B. 6y^4
C. -2xy^3
D. -10xy^3

Answer 1

`-10xy^(3)`

Explanation:

He added
`-3x^4`, so you need to include it, the new expression now being

`4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2-3x^4`

You need to simplify the polynomial first (combine all like terms) and it should become

`5x^2y^2+4y^4-10xy^3+9x^3y-6x^4`

The only option that actually exists are A and D, the answer would be D though because the letters that come first in the alphabet have more priority