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A polynomial with integer coefficients is of the form \[9x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 15 = 0.\]Find the number of different possible rational roots of this polynomial.

 Dec 10, 2020
 #1
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Possible rational roots

 

All  Factors of 15 /  All Factors  of 9

 

Factors of 15  =   1,3,5,15

Factors of 9 =  1,3, 9

 

So....

 

 ±  [ 1, 1/3 , 1/9 , 3 , 5 , 5/3 , 5/9, 15  ]

 

cool cool cool

 Dec 10, 2020

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