Add or subtract. Show your work.

Question

(2x2+6x+1)+(-7x2+2x-3)

A. 5x2-4x-2

B. -5x2+8x-2

C. 5x2-8x+2

D. -9x2-8x+2

Answer 1

To add or subtract, we need to combine like terms.

Starting with the x^2 terms:

2x^2 - 7x^2 = -5x^2

Moving to the x terms:

6x + 2x = 8x

And finally, the constant terms:

1 - 3 = -2

Putting it all together:

(2x^2 + 6x + 1) + (-7x^2 + 2x - 3) = -5x^2 + 8x - 2

So the answer is B. -5x^2 + 8x - 2.