solve the equation in the real number system.

Question

2x^4-23x^3+75x^2-88x+28=0
What are the real solutions of the equations?

please show work. I do not know how to work this at all

Answer 1

x f(x)
1 -6
0 28
-1 216

so there is a zero between zero x=0 AND x = 1
You can iterate and find it
then divide by (x-xo)
However before doing that I would search on Google for a polynomial grapher.

Answer 2

http://mathportal.org/calculators/polynomials-solvers/polynomial-graphing-calculator.php

yields 1/2 , 2 , 7

Answer 3

by the way you can see from the graph that 2 is a double root
If you were clever enough to factor this you would have
(2x-1)(x-2)(x-2)(x-7)