Solutions:
a) \((x +1) (x^2+12x +11) = (x +1) (x+1) (x+11)\)
Rational Roots \(x = -1, -1\) and \( -11\)
b) \((x+1) (x^2 +3x + 2) = (x+1) ( x+1) (x +2)\)
Rational Roots are \(x = -1, -1, -2\)
c) \((x+1) (5x^2 +24x – 5) = (x+1) (5x-1) (x+5)\)
Rational Roots are \(x = -1, \dfrac15, -5\)
Graph: 
Return to Practice (Rational Roots Theorem)