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Marisol did a mistake while grouping the terms in Step 1, with the sign. Thus, Marisol should go back and group the terms in Step 1 as (6x³ - 22x²) - (9x - 33). Hence, the second option is the correct choice.
The polynomial Marisol had was 6x³ - 22x² - 9x + 33.
The steps she did in the grouping of terms and factoring out the GFC out of the groups were:
Step 1: (6x³ - 22x²) - (9x + 33).
Step 2: 2x²(3x - 11) -3(3x + 11).
After this Marisol was unable to get a common factor to proceed further.
The mistake that Marisol did was in Step 1, as while grouping -9x and +33, she took the minus sign out, which will make -9x to become 9x, but 33 to become -33.
This is where she made the mistake and writing - (9x + 33) in place of - (9x - 33).
Thus, her steps should have been:
Step 1: (6x³ - 22x) - (9x - 33),
Step 2: 2x²(3x - 11) -3(3x - 11), which gives her a common factor (3x - 11), to continue with the third step:
Step 3: (2x² - 3)(3x - 11).
Refer to the attachment for the complete question, as the given question is incomplete.
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