Question

Find the sum of minus, 3, x, plus, 9−3x+9 and 7, x, squared, minus, 2, x, plus, 17x
2
−2x+1.

Answer 1

To find the sum of the expressions \(-3x + 9\) and \(7x^2 - 2x + 17\), we will first write both expressions clearly:

1. The first expression is \(-3x + 9\).
2. The second expression is \(7x^2 - 2x + 17\).

Now, we can write the sum of the two expressions:

\[
(-3x + 9) + (7x^2 - 2x + 17)
\]

Next, we combine like terms:

1. Start with the \(x^2\) terms:
\[
7x^2
\]

2. Next, combine the \(x\) terms:
\[
-3x - 2x = -5x
\]

3. Finally, combine the constant terms:
\[
9 + 17 = 26
\]

Putting it all together, the sum of the two expressions is:

\[
7x^2 - 5x + 26
\]

So, the final answer is:

\[
\boxed{7x^2 - 5x + 26}
\]