Question

simplify 4x^2−12x+24 divided by 4x

Answer 1

do you mean x-3+6/x ?

Answer 2

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

First, factor out the common factor of 4 from the numerator:

\[
4x^2 - 12x + 24 = 4(x^2 - 3x + 6)
\]

Now, substitute this back into the expression:

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

Next, you can cancel the common factor of 4 in the numerator and denominator:

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

Now, divide each term in the numerator by \(x\):

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

So, the simplified expression is:

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

Answer 3

Yes, you are correct! The simplified expression after dividing is:

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

or equivalently written as:

\[
x - 3 + 6/x
\]

Both representations convey the same meaning. Thank you for pointing that out!