Nature of Roots - Expanded Thinking
 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Have students stretch those algebra skills and thinking skills
with these more challenging problems involving the sum and the
product of the roots:

1.                               
 

   If the roots of this equation are expressed as r1 and r2, find the value
   of (r1)2 + (r2)2 using the information about sum and product of roots.
 

 

2.

  If the roots of this equation are expressed as r1 and r2, write the equation whose roots are
                                     
by using the information about sum and product of roots.