To find the sum of the polynomials \(\left(9 - 3x^2\right) + \left(-8x^2 + 4x + 5\right)\), we need to combine like terms. Let's break this down step by step:
1. Combine the \(x^2\) terms:
[tex]\[
(-3x^2) + (-8x^2) = -11x^2
\][/tex]
2. Combine the \(x\) terms:
[tex]\[
4x
\][/tex]
(There is only one \(x\) term in the given polynomials.)
3. Combine the constant terms:
[tex]\[
9 + 5 = 14
\][/tex]
So, the expression to find the sum of the polynomials is \(-11x^2 + 4x + 14\).
The correct intermediate steps to arrive at this result are:
[tex]\[
\left[(-3x^2) + (-8x^2)\right] + 4x + [9 + 5]
\][/tex]
Thus, the correct option that represents the steps to find this sum is:
[tex]\[
\left[\left(-3 x^2\right)+\left(-8 x^2\right)\right]+4 x+[9+5]
\][/tex]
