Question

find the sum of $6x^2 - 2x$ and $2x^2 - 9x - 10$.

Explanation:

Step1: Write the sum expression

To find the sum of \(6x^{2}-2x\) and \(2x^{2}-9x - 10\), we write the expression as \((6x^{2}-2x)+(2x^{2}-9x - 10)\).

Step2: Combine like terms

First, combine the \(x^{2}\) terms: \(6x^{2}+2x^{2}=8x^{2}\).
Then, combine the \(x\) terms: \(-2x-9x=-11x\).
The constant term is \(- 10\) (since there is no constant term in the first polynomial).
So, putting it all together, we get \(8x^{2}-11x - 10\).

Answer:

\(8x^{2}-11x - 10\)