Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 - 22x2 - 9x + 33. Her work is shown. Step 1: (6x3 - 22x2) - (9x + 33) Step 2: 2x2 (3x - 11) - 3 (3x + 11)

a. Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?

b. Marisol should realize that her work shows that the polynomial is prime.

c. Marisol should go back and group the terms in Step 1 as (6x3 - 22x2) - (9x - 33).

d. Marisol should go back and group the terms in Step 1 as (6x3 - 22x2) + (9x-33).

d. Marisol should refactor the expression in Step 2 as 2x2 (3x + 11) - 3 (3x + 11).

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Mathematics

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Yesterday, 23:25

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 - 22x2 - 9x + 33. Her work is shown. Step 1: (6x3 - 22x2) - (9x + 33) Step 2: 2x2 (3x - 11) - 3 (3x + 11)

a. Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?

b. Marisol should realize that her work shows that the polynomial is prime.

c. Marisol should go back and group the terms in Step 1 as (6x3 - 22x2) - (9x - 33).

d. Marisol should go back and group the terms in Step 1 as (6x3 - 22x2) + (9x-33).

d. Marisol should refactor the expression in Step 2 as 2x2 (3x + 11) - 3 (3x + 11).

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Answers (1)

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Juliette Sullivan · Answer 1

The answer is c. Marisol should go back and group the terms in Step 1 as (6x3 - 22x2) - (9x - 33). This is what Marisol should do next. Signs when factoring out can be very tricky.

Afterwards, Marisol should refactor the expression in Step 2 as 2x2 (3x + 11) - 3 (3x + 11).