SOLUTION: find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x)=x^3+2x^2-5x-6
Algebra.Com
Question 770788: find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x)=x^3+2x^2-5x-6
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x)=x^3+2x^2-5x-6
-----
Since f(-1) = 0, x = -1 is a root.
----
Use x = -1 to find other roots:
-1)....1....2....-5....-6
.......1....1....-6...|..0
---
Quotient: x^2 +x -6
----
Factor:
(x+3)(x-2) = 0
---
x =-3 or x = 2
======================
Rational roots: -1,-3,2
===========================
Cheers,
Stan H.
==================
RELATED QUESTIONS
Find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by stanbon)
Find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by Fombitz)
Find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by stanbon)
find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by lwsshak3)
Find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by lwsshak3)
Find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by ewatrrr)
4.6
The following function is given.
f(x)=x^3 -5x^2 -9x+45
a. List all rational... (answered by Boreal)
Find a rational zero of the polynomial function and use it to find all the zeros of the... (answered by sofiyac)
a. List all possible rational zeros. b. Use synthetic division to test the possible... (answered by greenestamps)