Siplify the polynomail below and type in standard form.

(3x^2 -2x-5) + (2x^2 + x - 10)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the polynomial \((3x^2 - 2x - 5) + (2x^2 + x - 10)\), we can combine like terms:

1. Combine the \(x^2\) terms:
\[
3x^2 + 2x^2 = 5x^2
\]

2. Combine the \(x\) terms:
\[
-2x + x = -x
\]

3. Combine the constant terms:
\[
-5 - 10 = -15
\]

Now we can put it all together:

\[
5x^2 - x - 15
\]

Thus, the simplified polynomial in standard form is:
\[
\boxed{5x^2 - x - 15}
\]