Review: Perfect Square Trinomials : x2 + 10x + 25A. What is a perfect square trinomial? 1. The first term is a perfect square 2. The third term is a perfect square 3. Multiply the square root of the 1st termcoefficient by the square root of the 3rd termcoefficient. The 2nd term should be twice this amount.
Review: Difference of Two SquaresAnother shortcut for factoring a trinomial is whenwe want to factor the difference of two squares. a2 – b2 = (a + b)(a – b) A binomial is the difference of two squares if: 1.Both terms are squares and 2.The signs of the terms are different. 9x2 – 25y2 – c4 + d4
Review:Square of Sums: All +, + perfect square trinomials1. (x + 1) 2 factor into square of sum binomials.2. (3x + 1)2 The product of a Square of a Sum binomial (a + b)2 is: a2 + 2ab + b2
Review:Square of a Difference: 2 All -, + perfect square trinomials factor1. (x - 4) into square of difference binomials.2. (3x - 1)2 The product of a Square of a difference binomial (a - b)2 is: a2 - 2ab + b2