Zero Product Property

Solve for x:

 $2x\ -\ 3\ =0$  

Use the / symbol to make a fraction

Identify the Zero Product Property

• If  $a\cdot b\ =\ 0$  then  $a\ =\ 0\ or\ b\ =\ 0$  

• If  $a+b=0$  then  $a\ =\ -b$  

• If  $a\ -\ b\ =\ 0$  then $a\ =\ b$  

• If  $a\cdot b=0$  then  $a=1\ or\ b\ =\ 1$  

Which equation can be solved with the zero product property?

• $x^2-6x+1=8$

• $2x\left(3x-1\right)=10$

• $\left(x-4\right)\left(2x+3\right)=0$

• $\left(x-2\right)\left(x+3\right)=1$

What is the first step in solving

(x + 2)(x - 3) = 0 ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each factor equal to zero

Solve for the values of x:

(x + 2)(x - 3) = 0

• $x=2$ or $x\ =\ 3$

• $x=-2$ or $x=-3$
  

• $x\ =\ 2$ or $x\ =\ -3$
  

• $x=-2$ or $x=3$
  

Solve for x:

 $3x\left(x-7\right)=0$  

•  $x=3$  or  $x=7$  

•  $x\ =\ 0$  or   $x=-7$  

•  $x=0$  or  $x=7$  

•  $x=-3$  or  $x=-7$  

Select all the correct answers for x:

 $\left(2x\ -\ 1\right)\left(x+8\right)=0$  

•  $x=\frac{1}{2}$  

•  $x=8$  

•  $x=2$  

•  $x=-8$  

•  $x=-\frac{1}{2}$  

Select all the correct answers for x: $\left(3x-2\right)\left(5x+1\right)=0$  

•  $x=\frac{1}{5}$  

•  $x=-\frac{1}{5}$  

•  $x=2$  

•  $x=-1$  

•  $x=\frac{2}{3}$  

Select all the correct answers for x: $\left(x+11\right)\left(x\ -\ 17\right)=0$  

•  $x=11$  

•  $x=17$  

•  $x=-11$  

•  $x=-17$  

Solve for h:

 $\left(h+8\right)\left(h+5\right)=0$  

•  $h=-8,\ h=-5$  

•  $h=8,\ h=5$  

•  $h=-8,\ h=5$  

•  $h=8,\ h=-5$