Question

Simplify 4x^2-12x+24/4x write your answer in standard form

Answer 1

To simplify the expression \(\frac{4x^2 - 12x + 24}{4x}\), we can start by factoring the numerator.

The numerator \(4x^2 - 12x + 24\) can be factored out by taking out the common factor of 4:

\[
4(x^2 - 3x + 6)
\]

Now substituting this back into the fraction gives:

\[
\frac{4(x^2 - 3x + 6)}{4x}
\]

Next, we can cancel the \(4\) in the numerator and denominator:

\[
\frac{x^2 - 3x + 6}{x}
\]

Now, we can separate this into two terms:

\[
\frac{x^2}{x} - \frac{3x}{x} + \frac{6}{x}
\]

This simplifies to:

\[
x - 3 + \frac{6}{x}
\]

Thus, the simplified form of the expression is:

\[
x - 3 + \frac{6}{x}
\]

This can be left in this form, so the final answer in standard form is:

\[
x - 3 + \frac{6}{x}
\]