Question

Choose the correct factorization for the polynomial.
12xy-28x-15y+35

Answer 1

To solve this, lets factor the polynomial step by step.

Step 1. Group the terms that have a common factor using parenthesis.

`12xy-28x-15y+35`

`(12xy-28x)-(15y-35)`

Step 2. Factor out
`4x` form the first parenthesis and
`5` from the second parenthesis.

`(12xy-28x)-(15y-35)`

`4x(3y-7)-5(3y-7)`

Step 3. Factor our the common factor
`(3y-7)`:

`4x(3y-7)-5(3y-7)`

`(3y-7)(4x-5)`

We can conclude that the correct factorization for the polynomial is
`(3y-7)(4x-5)`