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Chapter 7: Q34. (page 351)

If px=3x2-2x+5andrx=x3+x+1 then find rx+1.

Short Answer

Expert verified

The value of rx+1=x3+3x2+4x+3.

Step by step solution

01

Step 1. Write down the given information.

The given functions are px=3x2-2x+5andrx=x3+x+1.

02

Step 2. Calculation.

Evaluating rx+1 by plugging x=x+1 in given function rx=x3+x+1.

rx=x3+x+1....Givenrx+1=x+13+x+1+1=x3+1+3x2+3x+x+1+1=x3+3x2+4x+3

03

Step 3. Conclusion.

The value of rx+1=x3+3x2+4x+3.

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Most popular questions from this chapter

The number of cable TV systems after 1985 can be modeled by the function Ct=-43.2t2+1343t+790, where (t) represents the number of years since 1985. What trends in cable TV subscriptions does the graph suggest ?

For each graph,

a. Describe the end behaviour.

b. Determine whether it represents an odd-degree or an even-degree polynomial function, and

c. state the number of real zeros.

Complete each of the following.

  1. Graph each function by making a table of values.
  2. Determine consecutive values of x between which each real zero is located.
  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

fx=x3-3x2+2

Complete each of the following.

  1. Graph each function by making a table of values.
  2. Determine consecutive values of x between which each real zero is located.
  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.
fx=x3-2x2+6

If px=3x2-2x+5andrx=x3+x+1 then find 3px2-1+4px.
See all solutions

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