SOLUTION: Find all of the rational zeros of f(x)=4x^3-3x^2-22x-15. I can get the possible zeros for this, but I am not sure how to get the actual zeros of the equation. Any help is very m

Question 73808This question is from textbook Algebra 2
: Find all of the rational zeros of f(x)=4x^3-3x^2-22x-15.
I can get the possible zeros for this, but I am not sure how to get the actual zeros of the equation. Any help is very much appreciated! This question is from textbook Algebra 2

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all of the rational zeros of f(x)=4x^3-3x^2-22x-15.
x=-1 is a zero; Use synthetic division to look for the other zeroes.
-1...4....-3....-22....-15
.....4....-7....-15,,|,.0
3....4.....5...|..0
Final factor: 4x+5=0
x=-5/4
=============
Zeroes: x=-1; x=3; x=5/4
=============
Cheers,
Stan H.
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