Factoring polynomials

Practice 5 items →

Factoring is multiplying run backward; always GCF first. Students factor a difference of squares, perfect-square trinomials, x² + bx + c, and ax² + bx + c by grouping or the ac-method.

Specification · for a parent or teacher

Part no.: factoring-polynomials
Course: High School Math 1 · Unit 8
Realm: Structures
Difficulty: 4 of 4 — Grade 7 / Math 1 core. Structure, models, proofs on the grid.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

GCF; $a^2-b^2=(a-b)(a+b)$ ; perfect-square trinomials; $x^2+bx+c$ ; $ax^2+bx+c$ by grouping / $ac$ -method.

Ready when

$6x^2-5x-6$ factored completely.

Formulas

Difference of squares

a^2 - b^2 = (a-b)(a+b)

Perfect square

a^2 \pm 2ab + b^2 = (a \pm b)^2

Watch for

$x^2-9=(x-3)^2$ ; $2x^2+10x+12$ factored without pulling 2.

Before · requires

Polynomialspolynomial-operations · Math 1
Algebraic manipulationexpand-factor-7 · Math 7

After · used by

Quadratic equations and functionsquadratics-parabolas · Math 1

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