Respuesta :

missing factor: (5y-7)

Answer:

The correct answer is 5y-7

Step-by-step explanation:

Given that a quadratic expression is in the form ax²+bx+c where a,b and c are integers, we can factorize as follows

To factorize the expression 5y^2-12y+7, we need to find two numbers that when multiplied we get 5×7, that is ac, and that when added they give us -12 which is b,

these numbers are -7 and -5

therefore, 5y²-5y-7y+7 is our expression

Factorizing we get

             5y(y-1)-7(y₋1)

This gives  (y-1) (5y-7) as the factorized form of 5y²₋12y+7

Therefore the missing factor is 5y-7