Question

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

8x3y2-

+3xy²-47

000

Answer 1

A: x^2y^2

Explanation:

Answer 2

Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

`8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y3`

Options

`x^2y^2`
`x^3y^3`
`7xy^2`
`7x^0y^3`

Answer:

`x^2y^2`

Explanation:

Given

`8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3`

Required

Fill in the missing gap

We have that:

`8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3`

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

Hence, the variable of the polynomial is x

This implies that the power of x decreases by 1 in each term.

The missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.

This implies that the blank will be filled with a term that has its power of x to be 2

From the list of given options, only
`x^2y^2` can be used to complete the polynomial.

Hence, the complete polynomial is:

`8x^3y^2 -x^2y^2+ 3xy^2 - 4y3`