How to Multiply Polynomials Using Area Models

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A step-by-step guide to Multiply Polynomials Using Area Models  

Multiplying Polynomials Using Area Models-Example 1

\(6x^2+3x\).

Multiplying Polynomials Using Area Models-Example 2

Use an area model to multiply these binomials. \((2x-1)(4x+3)\).

Solution: Draw an area model representing the product \((2x-1)(4x+3)\)

Now, add the partial products to find the product and simplify,

\(8x^2+6x-4x-3=8x^2+2x-3\)

Therefore, \((2x-1)(4x+3)=8x^2+2x-3\)

Exercises for Multiplying Polynomials Using Area Models

1. Use the area model to find the product \(5x(4x+3)\).

2. Use an area model to multiply these binomials. \((-3x-5)(6x+8)\).

1. \(20x^2+15x\)

2. \(-18x^2-54x-40\)

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