Perfect+Square+Trinomials

=__Perfect Square Trinomials__=
 * ======A perfect square trinomial is a trinomial in which the first term and the last term are perfect squares. Also the middle term must be equal to the twice the product of the square roots of the first and last terms.======

__How to Factor a Perfect Square Trinomial__
-the first term is 1 and the last term is 4, both are perfect squares -the square root of 1 is 1 and the square root of 4 is 2, so 2 times 1 is 2 and twice that is 4 therefore the middle term will bw 4x -Now that we know that this equation is a perfect square trinomial we can begin to factor it.
 * First let's look at our equation (x 2 +4x+4)
 * 1) First check for a GCF. Since we do not have one we move onto step two.
 * 2) Now set up your binomials with the first terms as the square root of the first term of the trinomial. (x _)(x _)
 * 3) Then put the last terms of your binomials as the square root of the last term of the trinomial. (x + 2)(x + 2)

Let's try another example: (25x 2 +40x+16) (9x 2 +30x+25)
 * 1) There is no GCF so we can move onto the next step.
 * 2) Both 25 and 16 are perfect squares and 40 is twice the product of their square roots. Therefore it is a perfect square trinomial.
 * 3) Now set up your binomials with the first terms as the square root of the first of the trinomial. (5x _)(5x _)
 * 4) Then put the last terms of your binomial as the square root of the last term of the trinomial. (5x + 4)(5x + 4)
 * 1) First set up the first term of your binomials as the square root of the first term of the trinomial. (3x _)(3x _)
 * 2) Then put the second term of your binomials as the square root of the last term of your trinomial. (3x + 5)(3x + 5)

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