We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
216
2
avatar+1016 

What are the zeros of the polynomial function?

 May 26, 2018
 #1
avatar+7477 
+1

\(\begin{align} f(x)&=x^3+x^2-9x-9\\ f(x)&=x^2(x+1)-9(x+1)\\ f(x)&=(x^2-9)(x+1)\\ f(x)&=(x+3)(x+1)(x-3)\\ \end{align}\\ \therefore \text{-3, -1 and 3 are zeros of the polynomial.}\)

.
 May 26, 2018
 #2
avatar+10254 
+1

(x^3  + x^2  - 9x  - 9) : (x + 1)  =  x^2 - 9  
 x^3  + x^2           
 ———————
             - 9x  - 9
             - 9x  - 9
             ————
                     0

 

x^2 - 9 = (x + 3) (x - 3)

 

x = -1

x = -3

x = 3

 

laugh

 May 26, 2018

12 Online Users

avatar
avatar
avatar