Simplify the polynomial below and type in standard form.(1 point)(3x2−2x−5)+(2x2+x−10)=(3𝑥2−2𝑥−5)+(2𝑥2+𝑥−10)= Check Answer

Answer 1

To simplify the polynomial \((3x^2 - 2x - 5) + (2x^2 + x - 10)\), we will 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: \[ -5 - 10 = -15 \]

Putting it all together, we have: \[ 5x^2 - x - 15 \]

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