Factoring Quadratics GCF and Trinomials

Solve by factoring: 3x² + 4x - 4= 0

• x = 6 and x = -2

• x = -2/3 and x = 2

• x = 2/3 and x = -2

• x = -12 and x = 4

Which of the following trinomials is a perfect square trinomial ?

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - _ )² = 20

Mathematical Equivalence

OFF

Factor Completely: 5x²-11x+6

Mathematical Equivalence

ON

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

• x = 4 and x = −3

• x = 2 and x = 1

• x = −4 and x = 3

• x = −2 and x = 1

Solve (fyi....it's factorable)      3x² - 27 = 0

• -27 or 27

• No Solution

• -3 or 3

• -9 or 9

Solve by Factoring Completely: 3x² + 18x +15 = 0 Hint: Factor GCF first.

• x=5 x=-1

• x=3 x = 1

• x= -5 x= - 1

• x= -5 x = 1

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

• 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