Factoring+Perfect+Squares

= = = Factoring Perfect Squares = The square of an integer is called a **perfect square. **The trinomial that results from the squaring of a binomial is called a perfect square trinomial.

To factor a perfect square trinomial, use one of these patterns:

a^2 + 2ab + b2 = (a +b)^2 a2^ – 2ab – b2 = (a – b)^2

To verify that a polynomial is a perfect square trinomial, check that: // Example // //#1//
 * First and last terms are perfect squares
 * Middle term is twice the product of the square roots of the first and last terms

64x^2 + 32x + 4

Check:

64x^2 = (8x)^2 4 = 2^2 2 x 8x x 2 = 16x

Therefore, 64x^2 + 32x + 4 = (8x + 2)^2 // Example #2 //

9a^2 – 24a + 16

Check:

9a^2 = (3a)^2 16 = 4^2 2 x 3a x 4 = 24a

Therefore, 9a^2 – 24a + 16 = (3a – 4)^2

Group: Malika, Katylin, Rahgavi, Jenusha.