Respuesta :

Answer:   (y-2)(y-7)

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Explanation:

To factor this, we need to find two numbers that

  • A) multiply to 14  (last term)
  • B) add to -9 (middle coefficient)

Through trial and error, you would find that the two numbers are -2 and -7

-2*(-7) = 14

-2 + (-7) = -9

So that's why the given trinomial factors to (y-2)(y-7)

You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.