Final answer:
The resulting polynomial from subtracting polynomial B from polynomial A is 5x² + 11x - 13, which is option A in standard polynomial form.
Step-by-step explanation:
To find the resulting polynomial of A - B, you subtract polynomial B from polynomial A:
A = 3x² + 5x - 6
B = -2x² - 6x + 7
First, reverse the sign of each term in polynomial B to get - (-2x² - 6x + 7), which simplifies to +2x² + 6x - 7.
Now, add the corresponding terms from polynomial A and the modified polynomial B:
3x² + 5x - 6
+2x² + 6x - 7
This results in:
(3x² + 2x²) + (5x + 6x) + (-6 - 7)
Combine like terms:
5x² + 11x - 13
The standard polynomial form of the result is 5x² + 11x - 13, which corresponds to option A.