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Chapter 7: Q1. (page 350)

Explain why a constant polynomial such as fx=4 has degree 0 and a linear polynomial such as fx=x+5 has degree 1.

Short Answer

Expert verified

It is interpreted that the degree of fx=4 is 0 and degree of fx=x+5 is 1.

Step by step solution

01

Step 1. Write down the given information.

The given polynomials are fx=4鈥�andfx=x+5.

02

Step 2. Explanation.

The polynomial fx=4鈥�andfx=x+5can be re-written as:

fx=4x0fx=x1+5....1

From (1) it can be interpreted that the degree of fx=4is 0 and degree of fx=x+5is 1. Hence explained.

03

Step 3. Conclusion.

It is interpreted that the degree of fx=4 is 0 and degree of fx=x+5 is 1.

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Most popular questions from this chapter

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=2x4-4x3-2x2+3x-5

State the degree and leading coefficient of polynomial 5x6-8x2 in one variable. If it is not a polynomial in one variable, explain why.

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

Determine consecutive values of x between which each real zero of each function is located. Then draw the graph.

fx=x4-4x2+2

Find p4andp-2 for the function px=2-x.
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