Solving Quadratics with Zero Product Principle

What is the name of this property?

• Zero Exponent Property
• Zero Product Property
• Commutative Property
• Zero Sum Property

In the equation
 $\left(x+2\right)\left(x-3\right)=0$ , the binomials are called...?

• Factors

• Products

• Multiples

• Zeros

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

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing?

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Solve:

 $\left(x+4\right)\left(x+7\right)=0$  

•  $x=4$  or  $7$  

•   $x=-4$  or  $7$  

•   $x=-7$  or  $4$  

•   $x=-7$   or  $-4$  

Solve:

 $\left(x-8\right)\left(x+7\right)=0$  

•   $x=7$  or  $8$  

•   $x=-8$  or  $8$  

•   $x=-7$  or  $8$  

•   $x=-8$  or  $7$  

Solve:

 $\left(x-5\right)\left(x-2\right)=0$  

•   $x=-5$  or  $2$  

•   $x=2$  or  $5$  

•   $x=-2$  or  $5$  

•  $x=-5$  or  $-2$  

Solve:

 $\left(x-3\right)\left(x-2\right)=0$  

•   $x=-3$  or  $2$  

•   $x=-2$   or  $3$  

•   $x=2$  or  $3$  

•   $x=-3$  or  $-2$  

Solve:

 $\left(2x-1\right)\left(x+4\right)=0$  

• $\left\{-4,\frac{1}{2}\right\}$

• $\left\{\frac{1}{2},4\right\}$

• $\left\{-4,2\right\}$

• $\left\{-2,4\right\}$

Solve: 

 $z\left(z-15\right)=0$  

•   $z=0$  or  $15$  

•   $z=-15$  or  $0$  

•  $z=-15$  

•  $z=15$