Zero Product Property

What does the zero product property imply about the factors of a product?

• The product of the factors is always one.

• Both factors must be non-zero.

• At least one of the factors must be zero.

• The factors must be equal.

Tags

CCSS.HSA-REI.B.4B

How can you solve an equation using the zero product property?

• By dividing both sides of the equation by zero.

• By setting each factor equal to zero and solving for the variable.

• By multiplying both sides of the equation by zero.

• By adding the same number to both sides of the equation.

Tags

CCSS.HSA-REI.B.4B

What is the first step in solving a polynomial equation using the zero product property?

• Graph the equation.

• Factor the polynomial.

• Subtract the highest degree term from both sides.

• Set the equation equal to one.

Tags

CCSS.HSA-REI.B.4B

If an equation is set to zero and factored into (x - 4)(x + 3) = 0, what are the solutions for x?

• x = -4 and x = -3

• x = 4 and x = 3

• x = -4 and x = 3

• x = 4 and x = -3

Tags

CCSS.HSA-REI.B.4B

Why is it necessary to factor a polynomial before applying the zero product property?

• To identify the individual factors that could be set to zero.

• To simplify the equation for graphing.

• To convert the polynomial into an exponential equation.

• To increase the degree of the polynomial.

Tags

CCSS.HSA-REI.B.4B

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

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

Tags

CCSS.HSA-REI.B.4B

• x=0

• x=5

• x=2

• x= -5

Tags

CCSS.6.EE.B.7

Solve for x

x+5=0

• x=0

• x=5

• x=2

• x= -5

Tags

CCSS.6.EE.B.7

• x=0

• x=5

• x=2

• x= -5

Tags

CCSS.6.EE.B.7

• x=0

• x=5

• x=2

• x= -5

Tags

CCSS.6.EE.B.7