Investigation

Quadratic Equations

  1. Use the grid provided to determine the solution(s) to the quadratic equation \(3x^2 + 17x + 10 = 0\).  Verify the solutions by substituting them into the equation.



  2. Determine the \(x\)-intercepts of the graph of the function \(f\left( x \right) = \left( {x - 7} \right)\left( {x - 12} \right)\).


  3. Determine the solution(s) to the equation \(\left( {x - 7} \right)\left( {x - 12} \right) = 0\).