SOLUTION: Give that the polynomial function has the given zero, find the other zeros. f(x)= {{{x^3-3x^2-5x+39}}} -3 is a zero.

Question 240964: Give that the polynomial function has the given zero, find the other zeros.
f(x)= -3 is a zero.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!




-3 | 1 -3 -5  39
   |   -3 18 -39
    ------------
     1 -6 13   0

So now you have factored the 
polynomial f(x) this far:



The zeros are found by setting
this equal to 0:



 give the zero -3 which was given.

 will give the other zeros.

But this will not factor so we must use the
quadratic formula:

 

with , , and 
















 

The other zeros are  and 

Edwin

RELATED QUESTIONS
Given that the polynomial function has the given zero, find the other zeros. f(x)=... (answered by stanbon)

Given that the polynomial function has the given zero, find the other zeros.... (answered by ewatrrr)

Given that the polynomial function has the give zero, find the other zeros. f(x)=x^3-64; (answered by solver91311)

PLEASE HELP!!!! Given the polynomial function f(x)=x^3-5x^2+11x-15; 3 is a given zero,... (answered by josgarithmetic)

Given that the polynomial function has the given zero, find the other zeros. f(x)=x^3-64; (answered by solver91311)

Use the given zero to find the remailning zeros of the function. f(x)= x^3-3x^2-5x+39; (answered by richwmiller)

4.6 The following function is given. f(x)=x^3 -5x^2 -9x+45 a. List all rational... (answered by Boreal)

Suppose the polynomial function has the given zero. Find the other zeros. f(x)= x^3... (answered by algebrapro18)

4.6 The following function is given f(x)=x^3 -5x^2 -9x+45 a. list all rational... (answered by Boreal)