Chapter 4: Q. 10 (page 193)

If $r$ is a solution to the equation $f (x) = 0$ , name three additional statements that can be made about $f$ and $r$ assuming $f$ is a polynomial function.

Short Answer

Expert verified

The solution is $r$ is the real zero of the polynomial function $f$ , $r$ is an x-intercept of the graph of $f$ and $x - r$ is a factor of $f$ .

Step by step solution

Step 1. Given information

Equation: $f (x) = 0$

where $r$ is the solution.

Step 2. Calculation

If $r$ is a solution to the equation $f (x) = 0$ , then $r$ is the real zero of the polynomial function $f$ , $r$ is an x-intercept of the graph of $f$ and $x - r$ is a factor of $f$ .

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If $r$ is a solution to the equation $f (x) = 0$ , name three additional statements that can be made about $f$ and $r$ assuming $f$ is a polynomial function.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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If ris a solution to the equation fx=0, name three additional statements that can be made about fand rassuming fis a polynomial function.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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If $r$ is a solution to the equation $f (x) = 0$ , name three additional statements that can be made about $f$ and $r$ assuming $f$ is a polynomial function.