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1. Which values are possible rational roots of 12x3+14x2−x+18=0 according to the rational root theorem?

Select each correct answer.

±1/9

±9/2

±1/4

±2/3

 

 

2. Which real numbers are zeros of the function?

f(x)=3x4−x3−27x2+9x

Select each correct answer.

-3

-1

-1/3

0

1/3

1

3

Guest Oct 23, 2017
 #1
avatar+89874 
+1

1.  We take 

 

All the possible factors of 18           

_______________________    =   ±9/2 ,  ±1/4 , ±2/3

All the possible factors of 12

 

 

 

2. f(x)=3x^4−x^3−27x^2+9x  = 0

Write as  3x^4 - 27x^2 - x^3 + 9x  = 0

Factors  as

3x^2( x^2 - 9) -  x(x^2 -9)

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

( x+ 3) (x - 3) ( x ) (3x - 1)

 

The zeroes   are    -3, 0 , 1/3 and 3

 

 

cool cool cool 

CPhill  Oct 23, 2017

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