Chapter 7: Q1. (page 350)

Explain why a constant polynomial such as $f (x) = 4$ has degree 0 and a linear polynomial such as $f (x) = x + 5$ has degree 1.

Short Answer

Expert verified

It is interpreted that the degree of $f (x) = 4$ is 0 and degree of $f (x) = x + 5$ is 1.

Step by step solution

Step 1. Write down the given information.

The given polynomials are $f (x) = 4 and f (x) = x + 5$ .

Step 2. Explanation.

The polynomial $f (x) = 4 and f (x) = x + 5$ can be re-written as:

$\begin{array}{l} f (x) = 4 {(x)}^{0} \\ f (x) = {(x)}^{1} + 5 \end{array}) .... (1)$

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

Step 3. Conclusion.

It is interpreted that the degree of $f (x) = 4$ is 0 and degree of $f (x) = x + 5$ is 1.

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Explain why a constant polynomial such as $f (x) = 4$ has degree 0 and a linear polynomial such as $f (x) = x + 5$ has degree 1.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

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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

Step by step solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Calculus

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

Explain why a constant polynomial such as $f (x) = 4$ has degree 0 and a linear polynomial such as $f (x) = x + 5$ has degree 1.