Quadratics

Complex Trinomial 

 

To know if the standard form of the equation is a complex trinomial, its a value must not have a coefficient of 1 or it cannot have a common factor (ax²+bx+c)

 

For example

 

6x²+11x+3

 

Step 1: Does the coefficient of a have the value of 1?

 

           6x² does not have the coefficient of 1

 

Step 2: Does this equation have a common factor?

 

           No this equation does not have a common factor

 

 

Step 3: Now you know that this equation is a complex trinomial, list the mulitples of the a value and the multiples of the c value

 

 

A Value:                  C Value: 

              6*1                        3*1

              2*3

 

Step 4: Arrange the these numbers to form a factored form equation that would add up to the original equation

 

           (2x+3)(3x+1)

 

 

 

Question

 

Is 2x²+22x+56 a complex trinomial?

 

 

 

 

Solution

 

Step 1: Does the coefficient of a have the value of 1?

 

           2x² does not have the coefficient of 1

 

Step 2: Does this equation have a common factor?

 

           Yes this equation has a common factor of 2

 

Therefore this eqution is not a complex trinomial