Add or subtract.
(2x2 + 6x + 1) + (–7x2 + 2x – 3)
A. 5x2 – 4x – 2
B. –5x2 + 8x – 2
C. 5x2 – 8x + 2
D. –9x2 – 8x + 2
(2x^2 + 6x + 1) + (-7x^2 + 2x - 3)
To add or subtract these polynomials, we need to combine like terms.
First, let's add the x^2 terms:
2x^2 + (-7x^2) = -5x^2
Next, let's add the x terms:
6x + 2x = 8x
Finally, let's add the constant terms:
1 - 3 = -2
Therefore, the simplified expression is:
-5x^2 + 8x - 2
So, the answer is B. –5x2 + 8x – 2.