Verified Answer :

mpanderla95

The fully factored form of this expression would be
(A-5)(A+4).

pierinagiusiano

Answer:

The correct answer is (a+4)(a-5)

Step-by-step explanation:

We have the polynomial \(a^2-a-20\)

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=-20 and whose sum is b=(-1).

\(a^2-a-20=\\a^2+(-5+4)(a)-20=\\=a^2-5a+4a-20\)

Because b=(-5)+4=(-1) and a.c=(-5).4=(-20)

Now we have to factor by grouping:

\(a^2-5a+4a-20=\\(a^2+4a)-(5a+20)=\\a(a+4)-5(a+4)=\\=(a-5)(a+4)\)

Then, the correct answer is (a+4)(a-5)

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