How do you factor #24x^2-76x+40#?
First, let's simplify this dividing the equation by
Then, we have to find its roots:
Now, let's just factor these.
From the rational root theorem, if
Let us try
So in summary,
We need two numbers that multiply to give us
A little thought should convince us that both numbers must be negative. We proceed in order:
We'll split the
Now factor by grouping:
So we finish with: