Siplify the polynomail below and type in standard form.

Question

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

Answer 1

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: \[ \boxed{5x^2 - x - 15} \]