## Question

###### Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division $\left(x^{n}-1\right) /(x-1) .$ Create a numerical example to test your formula. (a) $\frac{x^{2}-1}{x-1}=$ (b) $\frac{x^{3}-1}{x-1}=$ (c) $\frac{x^{4}-1}{x-1}=$

Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division $\left(x^{n}-1\right) /(x-1) .$ Create a numerical example to test your formula. (a) $\frac{x^{2}-1}{x-1}=$ (b) $\frac{x^{3}-1}{x-1}=$ (c) $\frac{x^{4}-1}{x-1}=$

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