Question

find the sum
(2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

Answer 1

To find the sum of the two polynomials \((2x^2 + 5x - 7)\) and \((3 - 4x^2 + 6x)\), we can combine like terms.

Start by rewriting the expression:

\[
(2x^2 + 5x - 7) + (3 - 4x^2 + 6x)
\]

Now, combine the terms:

1. Combine the \(x^2\) terms:
\[
2x^2 - 4x^2 = -2x^2
\]

2. Combine the \(x\) terms:
\[
5x + 6x = 11x
\]

3. Combine the constant terms:
\[
-7 + 3 = -4
\]

Now, put it all together:

\[
-2x^2 + 11x - 4
\]

Thus, the sum of the expressions is:

\[
\boxed{-2x^2 + 11x - 4}
\]