Question

4x squared - 3x squared + 5x - 24

Answer 1

To simplify the expression \(4x^2 - 3x^2 + 5x - 24\), combine like terms.

1. Combine the \(x^2\) terms:
\[
4x^2 - 3x^2 = 1x^2 = x^2
\]

2. Leave the other terms as they are:
\[
5x - 24
\]

Now, putting it all together, the simplified expression is:
\[
x^2 + 5x - 24
\]

If you were looking to factor this quadratic expression, you would set it to zero and find the roots:
\[
x^2 + 5x - 24 = 0
\]

To factor it, you would look for two numbers that multiply to \(-24\) and add to \(5\). These numbers are \(8\) and \(-3\). Thus, the factored form is:
\[
(x + 8)(x - 3) = 0
\]

The solutions to the equation \(x^2 + 5x - 24 = 0\) are:
\[
x = -8 \quad \text{and} \quad x = 3
\]

In summary:
\[
x^2 + 5x - 24 \quad \text{or factored as} \quad (x + 8)(x - 3)
\]