Respuesta :

frika

Answer:

Correct choice is D

Step-by-step explanation:

The quadratic polynomial can be factored as

[tex](y-y_1)(y-y_2),[/tex]

where [tex]y_1,\ y_2[/tex] are roots of the polynomial.

If one of the factors is [tex]y+9,[/tex] then one of the roots is -9.

By the Vieta formulas,

[tex]y_1+y_2=-6,\\ \\y_1\cdot y_2=-27.[/tex]

Then

[tex]-9+y_2=-6,\\ \\-9y_2=-27.[/tex]

From these equations ou can conclude that [tex]y_2=3.[/tex]

lublana

Answer:

Final answer is D. (y-3)

Step-by-step explanation:

Frank is trying to factor [tex]y^2+6y-27[/tex]. He has determined that one factor is (y+9). Now we need to find the other factor.

So let's factor [tex]y^2+6y-27[/tex]

[tex]y^2+6y-27[/tex]

[tex]=y^2+9y-3y-27[/tex]

[tex]=y(y+9)-3(y+9)[/tex]

[tex]=(y-3)(y+9)[/tex]

Hence the other factor is (y-3).

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