document.write( "Question 253817: express the function f(x)=4x^2-12x +5 in factored form \n" ); document.write( "

Algebra.Com's Answer #186153 by drk(1908) $\"\"$ $\"About$

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We can to express the following in factored form:
\n" ); document.write( " $\"f%28x%29=4x%5E2-12x+%2B5\"$
\n" ); document.write( "we must complete the square. step 1 factor out a 4 from the first and second terms like this:
\n" ); document.write( " $\"f%28x%29=4%28x%5E2-3x+%2B+_____%29+%2B5+-++_____\"$
\n" ); document.write( "Notice the blanks. A number will go there.
\n" ); document.write( "step 2 - take 1/2 middle term and square it. put this answer in the first blank like this:
\n" ); document.write( " $\"f%28x%29=4%28x%5E2-3x+%2B+%28-1.5%29%5E2%29+%2B5+-++_____\"$
\n" ); document.write( "step 3 - multiply the (-1.5)^2 * 4 and put that answer in the second blank, like this:
\n" ); document.write( " $\"f%28x%29=4%28x%5E2-3x+%2B+%28-1.5%29%5E2%29+%2B5+-+9\"$
\n" ); document.write( "step 4 - rewrite the squared material as a single quantity squared and simplify the last 2 numbers, like this:
\n" ); document.write( "4(x -1.5)^2) - 4
\n" ); document.write( "This is factored form. \n" ); document.write( "

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