To solve this, lets factor the polynomial step by step.
Step 1. Group the terms that have a common factor using parenthesis.
[tex]12xy-28x-15y+35[/tex]
[tex](12xy-28x)-(15y-35)[/tex]
Step 2. Factor out [tex]4x[/tex] form the first parenthesis and [tex]5[/tex] from the second parenthesis.
[tex](12xy-28x)-(15y-35)[/tex]
[tex]4x(3y-7)-5(3y-7)[/tex]
Step 3. Factor our the common factor [tex](3y-7)[/tex]:
[tex]4x(3y-7)-5(3y-7)[/tex]
[tex](3y-7)(4x-5)[/tex]
We can conclude that the correct factorization for the polynomial is [tex](3y-7)(4x-5)[/tex]
