Verified Answer :

i know what it is. it  is (3a+4)(a-6)

pierinagiusiano

Answer:

The correct option is (3a+4)(a-6)

Step-by-step explanation:

We have the polynomial \(3a^2-14a-24\)

For the polynomials of the form \(ax^2+bx+c\) we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-72 and whose sum is b=(-14)

We have to factorize -14 from -14a:

\(3a^2-14(a)-24=\\3a^2-(18-4)(a)-24=\\=3a^2-18a+4a-24\)

Because b=(-18)+4=(-14) and a.c=(-18).4=(-72)

Now we have to factor by grouping:

\(3a^2-18a+4a-24=\\(3a^2-18a)+(4a-24)=\\3a(a-6)+4(a-6)=\\=(3a+4)(a-6)\)

Then, the correct option is (3a+4)(a-6)

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