+0  
 
0
29
3
avatar

Which statements are true about the polynomial function?

f(x)=x3+5x2+6x

Select each correct answer.

 


f(x)=0  when  x=2 .

(x+2)  is a factor of  f(x) .

f(x)  divided by (x−2)  has a remainder of 0.

f(−2)=0

Guest Nov 2, 2018
 #1
avatar+90968 
+1

f(x)=x^3+5x^2+6x

 

Let's examine each statement

 

First one

When  x  = 2      f(2)  =  (2)^3 + 5(2)^2 + 6(2)   =  8 + 20 + 12  =  40

So....this one is false

 

Second one

x^3 + 5x^2 + 6x     factor

x( x^2 + 5x + 6)

x(x + 3) ( x + 2)     

So....this one is true

 

Third one

This is false...it will only have a remainder of 0  if divided by one of its factors....and (x - 2) is not a factor

 

Last one

f(-2)   =  0  is true.....since  ( x + 2)  is a factor, - 2  is a root  [ it will produce a 0  when plugged into the function  and evaluated  ]

 

 

cool cool cool

CPhill  Nov 2, 2018
 #2
avatar
0

Thank you so much! can you answer one more question for me?

Guest Nov 2, 2018
 #3
avatar
0

Factor the polynomial function over the complex numbers.

 

f(x)=x4−x3−2x−4

 

Enter your answer in the box.

f(x) = 

 

(in this question the answer probably have the symbol i in it)

Guest Nov 2, 2018

36 Online Users

avatar
avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.