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Chapter 7: Q19. (page 350)

State the degree and leading coefficient of polynomial 6x4+3x2+4x-8 in one variable. If it is not a polynomial in one variable, explain why.

Short Answer

Expert verified

The polynomial has degree 4 and leading coefficient 6.

Step by step solution

01

Step 1. Write down the given information.

The given polynomial is 6x4+3x2+4x-8.

02

Step 2. Calculation.

The given polynomial 6x4+3x2+4x-8is in decreasing order of degree.

Therefore, the degree and leading coefficient of the polynomial 6x4+3x2+4x-8are stated as:

The polynomial 6x4+3x2+4x-8is a polynomial in one variable x. Therefore, by concept of degree and leading coefficient of a polynomial, the degree of the polynomial is 4 and leading coefficient is 6.

03

Step 3. Conclusion.

The polynomial has degree 4 and leading coefficient 6.

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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.
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  3. Estimate the x-coordinate at which the relative maxima and relative minima occur.

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Where are polynomial functions found in nature?

Include the following in your answer:

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Find p3andp-1 for the function px=-x3+x2-x.

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