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Find all rational zeros of f. Then​ (if necessary) use the depressed equation to find all roots of the equation

​f(x)equals=0.

 

 

f(x)= 5x^3-x^2-15x+3

 

set of all zeros of the given function is= ___ OR NO REAL ZEROS

 Mar 9, 2020

Best Answer 

 #1
avatar+21945 
+1

Using the rational root theorem, try these values for a possible solution:  1, -1, 3, -3, 1/5, -1/5, 3/5, -3/5

 

Trying these, you can find that 1/5 is a solution.

This means that (5x - 1) is a factor.

Divide  5x3 - x2 - 15x + 3  by  5x -1   --->   the quotient is  x2 - 3

Solving  x2 - 3  =  0

--->  x = +/-sqrt(3)

 Mar 9, 2020
 #1
avatar+21945 
+1
Best Answer

Using the rational root theorem, try these values for a possible solution:  1, -1, 3, -3, 1/5, -1/5, 3/5, -3/5

 

Trying these, you can find that 1/5 is a solution.

This means that (5x - 1) is a factor.

Divide  5x3 - x2 - 15x + 3  by  5x -1   --->   the quotient is  x2 - 3

Solving  x2 - 3  =  0

--->  x = +/-sqrt(3)

geno3141 Mar 9, 2020

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