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Recover Missing Factors When the Leading Coefficient Is Not One

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Exploring Algebraic Identities · Algebra tiles and quadratic factors · 3:22

You'll learn: Use coefficient matching or middle-term splitting on the chapter’s non-monic examples.

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Recover Missing Factors When the Leading Coefficient Is Not One

3:22

Playing

Recover Missing Factors When the Leading Coefficient Is Not One

You'll learn: Use coefficient matching or middle-term splitting on the chapter’s non-monic examples.

Now playing

Same topic

Algebra tiles and quadratic factors

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Multiply Two Linear Expressions with Algebra Tiles
You'll learn: Build a rectangle from one x² tile, x tiles and unit tiles.
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You'll learn: Reverse the area model to read dimensions from a quadratic.
Why Must the Two Numbers Have the Right Sum and Product?
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Why Must the Two Numbers Have the Right Sum and Product?
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You'll learn: Generalise the rectangle model to non-monic factors.
Factor Quadratics with Positive and Negative Terms
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Cubic identities

8

Derive the Cube of a Sum by Multiplication
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Derive the Cube of a Sum by Multiplication
You'll learn: Multiply (a+b) by its squared expansion and collect like terms.
Build a Cube from Two Cubes and Six Cuboids
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You'll learn: Visualise the cubic identity as a volume decomposition.
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You'll learn: Substitute −b into the cube-of-a-sum identity.
Recognise a Perfect Cube in an Expanded Expression
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You'll learn: Recover a repeated cubic factor from four terms.
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Calculate Cubes Using Nearby Convenient Numbers
You'll learn: Choose a sum or difference and apply a cubic identity.
Factor a Sum or Difference of Two Cubes
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You'll learn: Multiply the proposed factors and observe cancellation of mixed terms.
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Does x−y Also Divide Fourth and Fifth Power Differences?
You'll learn: Extend the chapter’s factor pattern using known identities and multiplication.
Derive the Three-Variable Cubic Identity
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Derive the Three-Variable Cubic Identity
You'll learn: Expand and cancel to link a sum factor to x³+y³+z³−3xyz.