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)

Second using a graphing calculator graph f(x)=x 5 - 8x 4 +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.

Question

02-09-2019
Mathematics

contestada

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)

Second using a graphing calculator graph f(x)=x 5 - 8x 4 +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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Answer:

Step-by-step explanation:

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

Attached in Figure 1

The quotient is: x^4+8

and the remainder is: 0

b) Second using a graphing calculator graph f(x)=x 5 - 8x 4 +8x - 64. Try Desmos.com

The graph is shown in Figure 2

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

The graph shows that the value of x is 8, for any value of y.

x-8 =0 => x=8 The value of x is 8 (The graph is attached in figure 3)

Both have same graph.