Aim #45 : How do we factor perfect square trinomials and DOTS expressions?
HW : Handout
Do Now : Simplify each expression.
1) (x - 3)(x + 3) 2) (x + 4)(x + 4)
3) (2x + 5)(2x - 5) 4) (6 - 5y)
2
What is a perfect square? How can you identify perfect squares?
Are there polynomial expressions that are perfect squares? That is, are there
polynomials that were once the product of the same two terms?
Which expressions in the Do Now are perfect square trinomials? What must be
true of both the leading term and the constant term?
Which expressions in the Do Now are the product of a sum and difference of the
same two terms? What do you notice happens when the two binomials are
multiplied?
Find the general rule for squaring a binomial that results in a perfect square
trinomial.
a) (a + b)
2
b) (a - b)
2
c) Take a look at the perfect square trinomials that are your answers from parts
a and b. How does the middle term relate to the first and last term?
12-13-16
