Find the zeros of the polynomial function.

f(x) = x^2 – 4x – 60

A.

–14, 5

B.

–5, 14

C.

–6, 10

D.

–10, 6

Question

Find the zeros of the polynomial function.

 

        f(x) = x^2 – 4x – 60  
 
 
 

 
 

  

  A. 
 
–14, 5
   
   

 
 

  

  B. 
 
–5, 14
   
   

 
 

  

  C. 
 
–6, 10
   
   

 
 

  

  D. 
 
–10, 6

ranga · Answer

x^2 – 4x – 60 = x^2 - 10x + 6x - 60 = x(x-10) + 6(x-10) = 
(x-10)(x+6)
To find the zeros of the polynomial, equate it to zero and solve for x:
(x-10)(x+6) = 0
x = 10 or -6.  So C is the correct answer.