How do I use the zero-factor property?

Question

Please provide an example foe me to solve.

Answer 1

When a quadratic( Trinomial )  is factored to  two binomial : i.e.

 

X² - 13X + 36  = ( X - 4 ) ( X- 9 )

 

  To solve for their roots , zeros or X - intercept of the graph of quadratic, the value of X's that make

 

 expression X² - 13X + 36 =0

 

   We let:

   ( X- 4 ) ( X-9 ) = 0

 

    Here we use the law of multiplication by 0, i.e. every number multiplied by 0 results in 0.

 

     Let one X- 4 = 0 , X =4 , then X -9 = 0  X =9.