how+to+factor

How do you factor a quadratic equation? 1. Factor out the GCF (Greatest Common Factor). 2. Then determine which type of factoring can be done:


 * Difference of Squares has two terms
 * Perfect Square Trinomial has perfect squares for the first and last terms
 * Trinomial where a = 1 has no coefficient (number in front of) before x 2
 * Trinomial where a does not equal 1 has a number other than 1 in front of x 2

3. To determine what to do look at each of the hyperlinks, and the quadratic should look like yours. For Example, 49x 2 +112x +64. 1. Factor out the GCF. There is no GCF so you go to step two. 2. Determine which type of factoring can be done. Is it a Difference of Squares? No is it a Perfect Square Trinomial? Yes! 3. Now factor out the quadratic like you would a Perfect Square Trinomial. ==media type="youtube" key="xvubtLJBLvA" height="315" width="560" align="center" ==
 * Find the square root of 49x 2 and 64.
 * The square roots are 7x and 8.
 * Multiply them together
 * 56x
 * now by 2
 * 112x
 * The number does match the middle term so it is a Perfect Square Trinomial
 * Then set up your binomials, ( + )( + ).
 * substitute 7x for the spot before the signs.
 * (7x+ )(7x+ )
 * Substitute 8 in for the spot after the signs.
 * (7x+8)(7x+8)
 * now make it a squared binomial because it is a perfect square.
 * (7x+8) 2 should be your final product.