Final answer:
Subtract polynomial B from polynomial A term by term, resulting in the final expression A - B = 11x² - 9x + 14, which is option a).
Step-by-step explanation:
To find A - B when given A = 7x² - 3x + 10 and B = -4x² + 6x - 4, you subtract each corresponding term in polynomial B from polynomial A.
Performing the subtraction:
- (7x² - (-4x²)) = 7x² + 4x² = 11x²
- (-3x - 6x) = -3x - 6x = -9x
- (10 - (-4)) = 10 + 4 = 14
After simplifying each term, we combine them to get the final expression A - B which is 11x² - 9x + 14.
Therefore, the correct answer to A - B is 11x² - 9x + 14 which corresponds to option a).