Factoring Quadratic Equations

Master factoring quadratic equations! Practice GCF, trinomials, and solving with this algebra worksheet.

Sort the graphs by the number of roots they have. Zero One Two When factoring an expression or equation our first step should be to check for a _. GFC KFC GCF KCF What is the factored form of 12z3 + 18z2? 6z(2z2 + 3z) 3(4z3 + 6z2) 6z2(2z + 3) 6(2z3 + 3z2) Write your own problem where the GCF is 4x. What is the GCF (greatest common factor) of 60x3 - 10x2 + 30x? 5 10x 10 5x3 Determine the factors of the following expressions: x2+11x+30 (x+5) (x+6) x2-16x+60 (x-10) (x-6) Factor the following: Factor the following: Match Expressions and Factors Match the following trinomials with its factors. Factor y2 - 36 or y2 + 0y -36 (y + 18)(y + 2) (y + 9)(y + 4) (y - 1)(y - 49) (y + 6)(y - 6) Alex was factoring 2y2 + 13y + 21. Their work is below.Line 1: 2y2 + 13y +21Line 2: 2y2 + 3y + 7y + 21Line 3: (2y2 + 3y) + (7y + 21)Line 4: y(2y + 3) + 7(2y + 3)Line 5: (y + 7)(2y + 3) What was Alex's first mistake? Justify your answer. (Hint: use the typing feature to answer)