Yea i have another polynomial problem..I tried it 3 times sigh....
Solve the equation given that the roots are in an arithmetic progression. Let the roots be a-3d, a-d, a+d, a+3d
Thanks a lot
Use Cardano Vieta relations.
Fernando Revilla
Those are the relations I was talking about:
so,
Could you continue?
Fernando Revilla
Certainly the equation can be easily solved using Ruffini's rule. However the sense of the problem is surely to use the fact that the roots are in arithmetic progression. An this, in order to see if the student knows the relations between roots an coefficients. In this case the relations:
lead to and to the biquadratic equation:
Of course it is not necessary to write the difference of the progression as , but it is correct.
Fernando Revilla