(a) Derive the smallest equation whose coefficients are integers and which has roots of \(\frac{1}{2}\) and -7. (b) Three years ago, a father was four times...

(a) Derive the smallest equation whose coefficients are integers and which has roots of \(\frac{1}{2}\) and -7. 

(b) Three years ago, a father was four times as old as his daughter is now. The product of their present ages is 430. Calculate the ages of the father and daughter.