Question: Synthetic Division - Roots Perform the following division problem using both long division and synthetic division to show that they both give the same answer.

Synthetic Division - Roots

Perform the following division problem using both long division and synthetic division to show that they both give the same answer. Show your work.

( x 5 - 8x 4 +8x - 64 ) ( x - 8)

Then, using a graphing calculator, graph f(x)=x5- 8x4+8x - 64. Try Desmos.com

Analyze the graph. Do you see a connection between the x - 8 and the graph? What is the connection?

Include the picture of the graph with the long division and synthetic division.

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