Factored Form and Standard Form of Perfect Square Trinomials

• By Grouping

• Difference of Two Squares

• Perfect Square Trinomials

• Greatest Common Factor

What characteristics are an indicator that the factoring method could be used to solve the quadratic?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

• Factoring

• Square Root

• Completing the Square

Convert x²+6x+9 to factored form and identify the solution.

• (x+3)(x+3); x=-3

• (x+4)(x+5); x=-4, -5

• (x-3)(x-3); x=3

• Not factorable

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

81x² -90x + 25

• (9x + 5)²

• (9x - 5)²

• (9x - 45)²

• Not a Perfect Square Trinomial

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

Put into standard form: (x + 6)²

• x² + 6x + 12

• x² + 6x + 36

• x² + 12x + 6

• x² + 12x + 36

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²

Factor: x²-26x+169

• (x+13)²

• (x-13)²

• (x+13)(x-13)

• (-x-13)²