Solving by Factoring (& Factoring Review)

What is the next step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Find the solutions to this equation.

5x ( 7x - 3 ) = 0

• x = 0 and x = 3 / 7

• x = 0 and x = - 3 / 7

• x = 0 and x = 7 / 3

• x = -5 and x = 3 / 7

Solve for a by factoring.
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Factor:x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Factor out the GCF:
12x + 6

Mathematical Equivalence

ON

Match each polynomial to its factored form:

• (x+4)(x-1)

• (x-4)(x+1)

• (x+4)(x+1)

• (x-4)(x-1)