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Chapter 7: Q6. (page 350)

State the degree and leading coefficient of polynomial 2b+4b3-3b5-7 in one variable. If it is not a polynomial in one variable, explain why.

Short Answer

Expert verified

The polynomial has degree 5 and leading coefficient -3.

Step by step solution

01

Step 1. Write down the given information.

The given polynomial is 2b+4b3-3b5-7.

02

Step 2. Calculation.

Re-arranging the given polynomial in descending order of degree, the polynomial can be written as:

-3b5+4b3+2b-7

Now, the degree and leading coefficient of the given polynomial 5x6-8x2are stated as:

The given polynomial is a polynomial in one variable b. Therefore, by concept of degree and leading coefficient of a polynomial, the degree of the polynomial is 5 and leading coefficient is -3.

03

Step 3. Conclusion.

The polynomial has degree 5 and leading coefficient -3.

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Most popular questions from this chapter

OPEN ENDED Sketch the graph of an odd-degree polynomial function with a negative leading coefficient and three real roots.

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.

State the degree and leading coefficient of polynomial c2+c-1c in one variable. If it is not a polynomial in one variable, explain why.

Which of the following point is closest to 2,-4.

localid="1648636689763" A3,1B鈭�2,0C1,5D4,鈭�2

The figure at the right shows the graph of the polynomial function f(x). Which of the following could be the degree of f(x)?

A) 2, B) 3, C) 4, D) 5
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