Perfect Square Factoring

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Factor 25x² - 81.

• (5x -  9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• cannot be factored

factor completely 
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Which of the following expressions are examples of DOTS (Difference of Two perfect Squares)?

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

81x² -90x + 25

• (9x + 5)²

• (9x - 5)²

• (9x - 45)²

• Not a Perfect Square Trinomial

Factor: x²-26x+169

• (x+13)²

• (x-13)²

• (x+13)(x-13)

• (-x-13)²

Put into standard form: (x + 6)²

• x² + 6x + 12

• x² + 6x + 36

• x² + 12x + 6

• x² + 12x + 36

a trinomial that is the square of a binomial

• perfect square trinomial

• Zero Product Property

• trinomial

• leading coefficient