Posted by Natasha on Monday, September 17, 2012 at 11:03pm.
find the real zeros of f(x)=x^4+6x^311x^224x+28

pre calculus  Reiny, Monday, September 17, 2012 at 11:33pm
try x=1
f(1) = 1+61124+28 = 0
so x1 is a factor
do synthetic division
(x^4+6x^311x^224x+28) = (x1)(x^3 + 7x  4  28)
x^3 + 7x^2  4x  28
= x^2(x+7)  4(x+7)
= (x+7)(x^  4)
so x^4+6x^311x^224x+28
= (x1)(x2)(x+2)(x+7)
x = 1, 2, 2, 7
Answer This Question
Related Questions
 algebra  Use the rational zeros theorem to find all the real zeros of the ...
 Pre Calculus  find the real zeros of the polynomial: P(x) = 24x^3  76x^2 + 2
 college algebra  use the rational zeros theorem to find all the real zeros of ...
 pre calculus  use the rational zeros theorem to find all the real zeros of the ...
 precalculus  information is given about the polynomial f(x) whose coefficients...
 PreCalculuscheck answers  Find the number of possible negative real zeros for...
 PreCalculuscheck answers  Find the number of possible negative real zeros for...
 Precalculuscheck answers  Find the number of possible negative real zeros for...
 precalculus  Find the number of possible negative real zeros for f(x)=6+x^4+2x...
 pre calculus  use given info about a polynomial whose coefficients are real ...
More Related Questions