Factoring Quadratic Equations Worksheet
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Types of factoring worksheets you can make
Factoring x² + bx + c: like x² + 3x − 18 = (x − 3)(x + 6) Factoring ax² + bx + c: like 6x² + 11x − 35 = (3x − 5)(2x + 7) Factoring out the GCF first: like 4x² + 32x + 60 = 4(x + 3)(x + 5) Difference of squares: like 4x² − 49 = (2x − 7)(2x + 7) Perfect square trinomials: like x² + 10x + 25 = (x + 5)² Two variables: like 9x² − 24xy + 16y² = (3x − 4y)² Mixed review: all the factoring types together on one worksheet Solving quadratic equations by factoring: like 6x² = −x + 35, with some equations not in standard form Box method: fill in a 2 × 2 box, then write the factored form Algebra tiles: write the expression a rectangle of tiles shows, then factor it Choose how students write their answers:
on a blank line with one box to fill in: (x + 3)(x + ◻) with two boxes to fill in: (x + ◻)(x + ◻) or (3x + ◻)(4x + ◻) with every number in a box: (◻x + ◻)(◻x + ◻) with a mix of box formats on one worksheet Make each worksheet your own:
four difficulty levels, from positive numbers only up to a as large as 36 and negative GCFs include some trinomials that cannot be factored, so students learn to spot prime trinomials choose how many problems to include every worksheet comes with an answer key