Omar grouped the terms and factored the gcf out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. his work is shown.
step 1: (3x3 – 15x2) + (–4x + 20)
step 2: 3x2(x – 5) + 4(–x + 5)
omar noticed that he does not have a common factor. which accurately describes what omar should do next?
a: omar should realize that his work shows that the polynomial is prime.
b: omar should go back and regroup the terms in step 1 as (3x3 – 15x2) – (4x + 20).
c: in step 2, omar should factor only out of the first expression.
d: omar should factor out a negative from one of the groups so the binomials will be the same.

The correct answer is:

D) Omar should factor out a negative from one of the groups so the binomials will be the same.

Explanation:

When we factor by grouping, if our groups are not the same, it indicates something is wrong and we need to review our work.

The second group is (-4x+20), which is correct. However, since the first group is (3x³-15x²), we can see that we want the first term of each factor to be positive and the second term of each factor to be negative. In order to accomplish this, we can factor a -4 out of the second factor and end up with -4(x-5).

Omar should factor out a negative from one of the groups so the binomials will be the same.

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