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: \(6x^2+2x^2 = 8x^2\).
Next, combine the \(x\) terms: \(-2x-9x=-11x\).
The constant term is \(-10\) (since there is no constant term in the first polynomial, we just take the constant term from the second polynomial).

Putting it all together, we get \(8x^2-11x - 10\).

Answer:

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