omar grouped the terms and factored the gcf out of the groups of the polynomial $3x^3 - 15x^2 - 4x + 20$…

omar grouped the terms and factored the gcf out of the groups of the polynomial $3x^3 - 15x^2 - 4x + 20$. his work is shown.\nstep 1: $(3x^3 - 15x^2) + (-4x + 20)$\nstep 2: $3x^2(x - 5) + 4(-x + 5)$\nomar noticed that he does not have a common factor.\nwhich accurately describes what omar should do next?\n○ omar should realize that his work shows that the polynomial is prime.\n○ omar should go back and regroup the terms in step 1 as $(3x^3 - 15x^2) - (4x + 20)$.\n○ in step 2, omar should factor only out of the first expression.\n○ omar should factor out a negative from one of the groups so the binomials will be the same.

omar grouped the terms and factored the gcf out of the groups of the polynomial $3x^3 - 15x^2 - 4x + 20$. his work is shown.\nstep 1: $(3x^3 - 15x^2) + (-4x + 20)$\nstep 2: $3x^2(x - 5) + 4(-x + 5)$\nomar noticed that he does not have a common factor.\nwhich accurately describes what omar should do next?\n○ omar should realize that his work shows that the polynomial is prime.\n○ omar should go back and regroup the terms in step 1 as $(3x^3 - 15x^2) - (4x + 20)$.\n○ in step 2, omar should factor only out of the first expression.\n○ omar should factor out a negative from one of the groups so the binomials will be the same.

Answer

Explanation:

Step1: Analyze current factored form

We have $3x^2(x - 5) + 4(-x + 5)$. Notice $(-x + 5) = -(x - 5)$.

Step2: Identify needed adjustment

To get matching binomial factors, factor out -1 from the second group: $4(-x + 5) = -4(x - 5)$.

Step3: Evaluate options

This matches the action of factoring out a negative from one group to make binomials identical. The polynomial is not prime, and other options do not fix the non-matching binomials.

Answer:

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