Question

Select all the expressions that could represent the volume of a box, which is a fourth degree polynomial in variables x and y.

Answer 1

Answer:

$(E) 3x^4y^4 - 3x^2y + 17xy^2 -10y$

Step-by-step explanation:

A fourth degree polynomial in variables x and y is a polynomial in which the highest power/index of x and y is 4.

We observe the options below for that which satisfies this condition.

Out of the given options,

$A. 3x^2y^2 + 6x^2 -7xy - 14x\\B. 10xy + 12x + 2xy^2 -y^2 - 5y - 6\\C. -6 + 7xy + 9x^2 + 2x^3y\\D. 2x^3y + 5x^2y - xy -6y\\E. 3x^4y^4 - 3x^2y + 17xy^2 -10y$

The expression that could represent the volume of a box is

$3x^4y^4 - 3x^2y + 17xy^2 -10y$