Question

Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2

Answer 1

`Column\ 1: 4y^2`

`Column\ 2: 6x^3+4xy+3y`

Explanation:

Given

`24x^3y^2+16xy^3+12y^3`

Required

Determine the product from the given column

`24x^3y^2+16xy^3+12y^3`

Factor our
`y^2`

`24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)`

Factor out 4

`24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)`

So: the factors are:

`4y^2` and
`6x^3 + 4xy + 3y`

This gives:

`Column\ 1: 4y^2`

`Column\ 2: 6x^3+4xy+3y`