SOLUTION: Please help me solve this equation! List the rational roots and determine them:{{{2x^3-7x+2=0}}}

Question 165891: Please help me solve this equation! List the rational roots and determine them:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
The Rational Root Theorem tells you that if the polynomial has a rational zero then it must be a fraction p/q, where p is a factor of the last constant and q is a factor of the first coefficient.
Since both the first and the last coefficients are 2 the factors are 1 & 2
The possible rational roots are +- 1/2, 1, 2
If you test them all you will find that -2 is the only rational root. (Answer) If you use long division (2x^3-7x+2)/(x+2)=2x^2-4x+1. Then if you use the quadratic formula on this result it gives the other 2 irrational roots (2-sqrt(2)/2) and (2+sqrt(2))/2.
.
Ed
.

RELATED QUESTIONS
Please help me solve this equation! List the rational roots and determine... (answered by jim_thompson5910)

please help me find a list of possible rational roots for this equation:... (answered by stanbon)

I'm hoping someone can help me with this. Here is my problem: (answered by edjones)

Given the equation x^3 - 2x^2 + x - 3 = 0, what are the possible rational roots please... (answered by jim_thompson5910)

Please help me solve and list the rational zeros of this function using the rational... (answered by stanbon,lwsshak3)

list all rational zeros use synthetic division to test the possible rational roots and... (answered by shorty4aboo)

please help me solve these 3 equations use the rational root theorem to list the possible (answered by ewatrrr)

Please help me solve this. Build each rational expression into an equivalent rational... (answered by ankor@dixie-net.com)

Identify the LCD of the rational expression in the equation.. Please help me solve this; (answered by MathTherapy)