Well, x+2 sure looks good as a factor....so try long division...
I've had a go at this but I can't seem to get anywhere with it.
2x^4 + x^3 - 6x^2 + x + 2 = 0
Use the substitution p = x + 1/x to get a quadratic in p.
I've tried just substituting in x = p - 1/x but the x's don't cancel. How should I approach this problem?
Thanks for your help
1. If the coefficients of the equation are symmetric to the central summand then divide through by . You'll get:
2. If then
3. Group the equation of #1 to:
Now replace the terms in brackets by the terms of #2:
which yields:
4. Now replace p in the equation of #2 and solve for x: