Question 253817
We can to express the following in factored form:
{{{f(x)=4x^2-12x +5}}}
we must complete the square. step 1 factor out a 4 from the first and second terms like this:
{{{f(x)=4(x^2-3x + _____) +5 -  _____}}}
Notice the blanks. A number will go there.
step 2 - take 1/2 middle term and square it. put this answer in the first blank like this:
{{{f(x)=4(x^2-3x + (-1.5)^2) +5 -  _____}}}
step 3 - multiply the (-1.5)^2 * 4 and put that answer in the second blank, like this:
{{{f(x)=4(x^2-3x + (-1.5)^2) +5 - 9}}}
step 4 - rewrite the squared material as a single quantity squared and simplify the last 2 numbers, like this:
4(x -1.5)^2)  - 4
This is factored form.