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Factorising Quadratic Expressions - Splitting Down the Middle WORKSHEET
Suitable for Grades: Algebra II, IM 2
CCSS: HSA.REI.B.4
CCSS Description: Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation; recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Factorising Quadratic Expressions - Splitting Down the Middle WORKSHEET DESCRIPTION
Provide students with structured practice in factorising quadratic expressions using the method of splitting the middle term.
Section A introduces straightforward grouping examples, such as 𝑥(𝑥 + 9) + 6(𝑥 + 9). Section B builds on this by applying the splitting method more directly, with expressions in the form 3𝑥^2 + 9𝑥 - 2𝑥 - 6.
Section C then challenges students to complete the whole process themselves. The gradual increase in difficulty ensures learners develop fluency with the technique and confidence in tackling a wide variety of quadratics.
If you're looking for other methods check out our worksheet Factorising Quadratic Expressions - Using the Area Model (B).
Section A introduces straightforward grouping examples, such as 𝑥(𝑥 + 9) + 6(𝑥 + 9). Section B builds on this by applying the splitting method more directly, with expressions in the form 3𝑥^2 + 9𝑥 - 2𝑥 - 6.
Section C then challenges students to complete the whole process themselves. The gradual increase in difficulty ensures learners develop fluency with the technique and confidence in tackling a wide variety of quadratics.
If you're looking for other methods check out our worksheet Factorising Quadratic Expressions - Using the Area Model (B).
All worksheets are created by the team of experienced teachers at Cazoom Math.
Frequently Asked Questions
This factorising quadratic expressions - splitting down the middle worksheet is designed for students in Algebra II and IM 2 and aligns with Common Core State Standards.