Final answer:
The expression that shows the sum of the polynomials with like terms grouped together is 8x² - 9x + 3x² - 9x + 4. To find the sum of polynomials with like terms grouped together, we simply combine the coefficients of the like terms.
Step-by-step explanation:
The expression that shows the sum of the polynomials with like terms grouped together is c. 8x² - 9x + 3x² - 9x + 4.
To find the sum of polynomials with like terms grouped together, we simply combine the coefficients of the like terms. In this case, the like terms are the terms with x² and x. We add the coefficients of the x² terms (8x² and 3x²), which gives us 11x². We also add the coefficients of the x terms (-9x and -9x), which gives us -18x. Finally, we add the constant terms (4 and 0), which gives us 4. So the sum of the polynomials is 11x² - 18x + 4.