SOLUTION: factor polynomial f(x) = x^3+2x^2-15x-36

Question 524674: factor polynomial
f(x) = x^3+2x^2-15x-36
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor polynomial
f(x) = x^3+2x^2-15x-36
-----
I graphed the equation and found a zero at x = 4
---
Then, use synthetic division to find the other zeroes:
4)....1....2....-15....-36
.......1....6.....9....|..0
----
Quotient: x^2+6x+9
Factor: (x+3)^2
---
So, zero at x = -3 with multiplicity 2
----
Factors: f(x) = (x-4)(x+3)^2
===================================
Cheers,
Stan H.
==============
RELATED QUESTIONS
f(x)=15x^3+61x^2+2x-8 List all possible rational zeros Find all rational zeros Factor... (answered by MathLover1)

f(x)=2x^3+2x^2+112x we need to factor this... (answered by checkley71)

i need to factor this problem... (answered by Fombitz,scott8148)

2x^3-x^2-15x (answered by rapaljer)

-15x+2x^3-x^2 (answered by madhan_math,Alan3354)

Factor completely. x^3 + 8x^2 + 15x (answered by checkley71)

factor the following polynomial:... (answered by Boreal,Fombitz,MathLover1,MathTherapy)

x^3-2x^2<15x Solve the following polynomial and rational inequalities in interval... (answered by ikleyn)

Given the polynomial function f(x), factor f(x) into linear factors. f(x)=... (answered by stanbon)