Question

the item to the trashcan. Click the trashcan to clear all your answers.Factor pmpletely, then place the factors in the proper location on the grid.y2x - y - 20

Answer 1

`y^(2x)-y^x-20`

To factor:

1. Write the second term as a difference of two terms with coefficients that when you add it be equal to -1 and when you multiplied be equal to -20:

`=y^(2x)+4y^x-5y^x-20`

2. Factor by grouping:

First two terms: y^x as common factor:

`=y^x(y^x+4)-5y^x-20`

Last two terms: -5 as common factor:

`=y^x(y^x+4)-5(y^x+4)`

3. Factor (y^x +4) as common factor:

`=(y^x+4)(y^x-5)`

Then, the given function completely factor is:

`y^(2x)-y^x-20=(y^x+4)(y^x-5)`