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Chapter 7: Q16. (page 350)

State the degree and leading coefficient of polynomial 7-x in one variable. If it is not a polynomial in one variable, explain why.

Short Answer

Expert verified

The polynomial has degree 1and leading coefficient -1.

Step by step solution

01

Step 1. Write down the given information.

The given polynomial is 7-x.

02

Step 2. Calculation.

Re-arranging the given polynomial in descending order of degree, the polynomial can be written as -x+7.

Now, the degree and leading coefficient of the given polynomial -x+7are stated as:

The given polynomial is a polynomial in one variable x. Therefore, by concept of degree and leading coefficient of a polynomial, the degree of the polynomial is 1 and leading coefficient is -1.

03

Step 3. Conclusion.

The polynomial has degree 5 and leading coefficient -3.

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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=-x4+5x2-2x-1

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.

THEATER For Exercises 46鈥�48, use the graph that models the attendance to Broadway plays (in millions) from 1970-2000.

Is the graph an odd-degree or even-degree function?

Graph the polynomial function fx=x4-7x2+x+5 by making table of values.

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

fx=x4-4x2+2
See all solutions

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