SOLUTION: Use the zero or root of graphing utility to find the real zeros of the function f (x)= x^4 =3x^2 - 5x^2 - 21x + 22 and find the exact values of the remaining zeros.

Algebra ->  Rational-functions -> SOLUTION: Use the zero or root of graphing utility to find the real zeros of the function f (x)= x^4 =3x^2 - 5x^2 - 21x + 22 and find the exact values of the remaining zeros.      Log On


   

Question 1034573: Use the zero or root of graphing utility to find the real zeros of the function
f (x)= x^4 =3x^2 - 5x^2 - 21x + 22 and find the exact values of the remaining zeros.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You would first need to fix your character mistake to show PLUS or to show MINUS; and the likely wrong exponent; and then pick at each root shown in the graph until your quotient is able to be finished using factorization or quadratic formula.

x^4-3x^3-5x^2-21x+22
(the site is not showing this graph properly.)
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E4-3x%5E3-5x%5E2-21x%2B22%29


x^4+3x^3-5x^2-21x+22
(the graph will look much better when the function run through Google.)
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E4%2B3x%5E3-5x%5E2-21x%2B22%29
One might guess that this is the function you are given. Try synthetic division to take care of binomial linear factors x-1 and x-2. You have a quadratic factor which will likely give you two complex roots.