Question

Julian fully simplifies this polynomial and then writes it in standard form.

4x2y2 – 2y4 – 8xy3 + 9x3y + 6y4 – 2xy3 – 3x4 + x2y2

If Julian wrote the last term as –3x4, which must be the first term of his polynomial in standard form?

a) 4y4
b) 6y4
c) –2xy3
d) –10xy3

Answer 1

4y^4

Explanation:

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

Last term is -3x^4

This means x term is increasing and it ends at x^4

we arrange the terms in order

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

now we combine like terms

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

So first term is 4y^4