Can anyone please help me through these problems? Even a hint will suffice. I need it at the earliest. Thanks.
1. 1 is a root of the equation ax2+bx+c, where a,b,c belong to R. Prove that the roots of 4ax2+3bx+2c are real and unequal.
2. If x2+ax+b belongs to Z for all x->Z and roots are rational. Prove that the roots are infact integers.
Please do help. Thanks again,