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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

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MrRoyal

Answer:

[tex]Column\ 1: 4y^2[/tex]

[tex]Column\ 2: 6x^3+4xy+3y[/tex]

Step-by-step explanation:

Given

[tex]24x^3y^2+16xy^3+12y^3[/tex]

Required

Determine the product from the given column

[tex]24x^3y^2+16xy^3+12y^3[/tex]

Factor our [tex]y^2[/tex]

[tex]24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)[/tex]

Factor out 4

[tex]24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)[/tex]

So: the factors are:

[tex]4y^2[/tex] and [tex]6x^3 + 4xy + 3y[/tex]

This gives:

[tex]Column\ 1: 4y^2[/tex]

[tex]Column\ 2: 6x^3+4xy+3y[/tex]

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