Homework Help: Math - Possible or Potential rational zeros

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 - joe, Friday, December 16, 2011 at 10:41pm
idk
Math - Possible or Potential rational zeros - Anonymous, Tuesday, March 26, 2013 at 2:52pm
poop
Math - Possible or Potential rational zeros - bill, Friday, April 5, 2013 at 11:42am
UNDEFINED!

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