Final answer:
To find the difference between the two polynomials (6x^2 - 4x - 5) and (3x^2 - 7x + 2), we subtract the second from the first term-by-term, changing the sign of each term in the second. The difference is 3x^2 + 3x - 7, which is option B.
Step-by-step explanation:
The student has asked to find the difference between two polynomial expressions: (6x2 - 4x - 5) - (3x2 - 7x + 2). To do this, we need to subtract the second polynomial from the first. This involves changing the signs of each term in the second polynomial before adding it to the first polynomial.
Subtracting the polynomials term-by-term, we get:
- For x2 terms: 6x2 - 3x2 = 3x2
- For x terms: -4x - (-7x) = -4x + 7x = 3x
- For constant terms: -5 - 2 = -7
Therefore, the difference is 3x2 + 3x - 7, which corresponds to option B.