Verified Answer :

nobillionaireNobley

\(6x^{2} -19x-55 \\ =6 x^{2} -30x+11x-55 \\ =6x(x-5)+11(x-5) \\ =(6x+11)(x-5)\)

skyluke89

Answer: (6x + 11)(x – 5)

Explanation:

In order to see which expression is equivalent to

\(6x^2 -19x-55\) (1)

Let's solve each individual expression separately:

1) \((2x - 11)(3x + 5)=6x^2 -33 x +10 x-55=6x^2 -23 x -55\) --> NO

2) \((2x + 11)(3x - 5)=6x^2 +33 x -10 x-55=6x^2 +23 x -55\) --> NO

3)  \((6x - 11)(x + 5)=6x^2 -11 x +30 x-55=6x^2 +19 x -55\) --> NO

4)  \((6x + 11)(x - 5)=6x^2 +11 x -30 x-55=6x^2 -19 x -55\) --> YES

So, the choice that corresponds to eq.(1) is the last one:

(6x + 11)(x – 5)





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