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The polynomial function​ f(x) has the given zero. Find the other zeros.

F(x)=x^3+7x^2-3x-21;-7

Guest Feb 26, 2017
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x^3+7x^2-3x-21;  -7   is a zero

 

Factor  by grouping

 

x^2 ( x + 7) - 3(x + 7)  =  0

 

(x + 7)  ( x ^2  - 3 )  = 0

 

We   know  the  zero  of the first factor.....to find the zeroes of the second, we have

 

x^2  - 3   = 0     add 3 to both sides

 

x^2  =  3         take  both positive and negative roots

 

x =  ± √3

 

 

cool cool cool

CPhill  Feb 26, 2017

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