Posted by **CheezyReezy** on Wednesday, June 1, 2011 at 9:06pm.

List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work.

f(x) = x^4 - 7x^3 - 3x^2 + 19x + 14

- Math - Possible or Potential rational zeros -
**Mgraph**, Wednesday, June 1, 2011 at 9:30pm
Potential rational zeros are:

+-1,+-2,+-7,+-14

f(-1)=1+7-3-19+14=0

f(x)=(x+1)g(x), g(x)=x^3-8x^2+5x+14

g(-1)=-1-8-5+14=0

g(x)=(x+1)h(x),

f(x)=(x+1)^2*h(x), h(x)=x^2-9x+14

h(2)=4-18+14=0

h(x)=(x-2)(x-7)

f(x)=(x-2)(x-7)(x+1)^2

- Math - Possible or Potential rational zeros -
**bill**, Friday, April 5, 2013 at 11:42am
UNDEFINED!

- Math - Possible or Potential rational zeros -
**Mar**, Monday, October 3, 2016 at 12:41am
2x^5+9x^3+3x^2-6

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