A polynomial function has zeros -3 and 4. What are the factors?

1 Answer
Dec 17, 2016

Answer:

Factors of the function are #(x+3)# and #(x-4)#

Explanation:

When a polynomial function has zeros #alpha,beta# and #gamma#, the factors of function are

#(x-alpha)#, #(x-beta)# and #(x-gamma)#

As we have zeros #-3# and #4#, factors of the function are

#(x-(-3))# and #(x-4)# i.e. #(x+3)# and #(x-4)#

and function is #(x+3)(x-4)=x^2+3x-4x-12#

= #x^2-x-12#