Question

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homework 5: polynomials
use the area model to multiply.
$(x^{3}-2x^{2}-3) \cdot (x+2) =$

Explanation:

Step1: List all area model terms

$x^4, -2x^3, -3x, 2x^3, -4x^2, -6$

Step2: Combine like terms

$x^4 + (-2x^3 + 2x^3) - 4x^2 - 3x - 6$

Step3: Simplify the expression

$x^4 + 0x^3 - 4x^2 - 3x - 6$

Answer:

$x^4 - 4x^2 - 3x - 6$