The correct answer is - 6x²-6x + 4x² + 3x + 3-4. Hence the correct option is b.
The key to rearranging a polynomial for term grouping is identifying all the different types of terms present. In this case, we have:
x² terms: There are two of them, with coefficients -6 and +4.
x terms: There are three of them, with coefficients -6, +3, and +3.
Constant terms: There are two of them, +3 and -4.
To rearrange the terms for maximum clarity, we should group each type together:
Combine the x² terms by summing their coefficients: -6x² + 4x² = -2x².
Combine the x terms by summing their coefficients: -6x + 3x + 3x = -x.
Combine the constant terms by summing them: +3 - 4 = -1.
Therefore, the correct rearrangement with all like terms grouped together is:
-6x² + 4x² - 6x + 3x + 3 - 4
Simplifying further, we can combine the remaining x² terms and adjust the final constant:
-2x² - 3x - 1
Hence, option b. - 6x²-6x + 4x² + 3x + 3-4 is the first step towards the fully rearranged form, making it the closest representation of the correctly grouped terms. Hence the correct option is b.