Question

find the sum.
(8x² + x) + (x² + 4x + 10)
?x² + x +

Explanation:

Step1: Combine like terms for \(x^2\)

We have \(8x^2\) from the first polynomial and \(x^2\) from the second polynomial. To combine them, we add their coefficients: \(8x^2 + x^2=(8 + 1)x^2 = 9x^2\)

Step2: Combine like terms for \(x\)

We have \(x\) (which is \(1x\)) from the first polynomial and \(4x\) from the second polynomial. Adding their coefficients: \(x+4x=(1 + 4)x=5x\)

Step3: The constant term

The only constant term is \(10\) from the second polynomial.

Answer:

\(9x^2 + 5x + 10\) (So the coefficients are 9, 5, and 10 respectively)