This is a collaborative activity to practice forming quadratic equations with integer coefficients by both using the factoring formula and Vieta’s formulas. Partner A will form the first equation by the factoring formula while Partner B forms the same equation by Vieta’s formulas. If their answers match they write down the required equation and move on, if not they try together to identify and correct any errors. Each partner will do half of the problems by the factoring formula and the other half – by Vieta’s formulas.
The product consists of 27 problems total of THREE different difficulty LEVELS. In a first level, students must find quadratic equations when their respective roots given are integers. In a second level, the roots are both decimals or exactly one of the roots is decimal. In the last third level the numbers given are irrational.
Answer keys are included.