Asked by Landon Sharp
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
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{5x^2 - x - 15}
\]
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:
\[
\boxed{5x^2 - x - 15}
\]