Question

Write this in Standard Form: 5xy^2-x^2+9x^3y-y^4+2

5xy^2+xy-x^2+2-y^4
2+y^4-9x^3y^5-x^3
9x^3y-x^2+

Answer 1

I'll order each polynomial in standard form by total degree (highest to lowest), breaking ties by descending power of x.

1) 5xy^2 - x^2 + 9x^3y - y^4 + 2
= 9x^3y - y^4 + 5xy^2 - x^2 + 2

2) 5xy^2 + xy - x^2 + 2 - y^4
= -y^4 + 5xy^2 - x^2 + xy + 2

3) 2 + y^4 - 9x^3y^5 - x^3
= -9x^3y^5 + y^4 - x^3 + 2

4) "9x^3y - x^2 +" appears to be incomplete — please provide the rest of that expression and I’ll write it in standard form.