Question

write this fraction in standard form 4x2−12x+24/4x

Answer 1

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

1. Factor out the greatest common factor (GCF) from the numerator \(4x^2 - 12x + 24\):
\[
4(x^2 - 3x + 6)
\]

2. This gives us the fraction:
\[
\frac{4(x^2 - 3x + 6)}{4x}
\]

3. Now, we can cancel the common factor of 4 from the numerator and denominator:
\[
\frac{x^2 - 3x + 6}{x}
\]

4. We can split this into two separate fractions:
\[
\frac{x^2}{x} - \frac{3x}{x} + \frac{6}{x}
\]

5. Simplifying each term:
\[
x - 3 + \frac{6}{x}
\]

So, the expression in standard form is:
\[
x - 3 + \frac{6}{x}
\]