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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