Chapter 4: Q. 26 (page 194)

In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell
why not.
$Q (x) = - 3 x^{2} {(x + 2)}^{3}$

Short Answer

Expert verified

$G$ is a polynomial function of degree $5$

Step by step solution

Given information

$Q (x) = - 3 x^{2} {(x + 2)}^{3}$

Calculation

$Q (x) = - 3 x^{2} {(x + 2)}^{3} = - 3 x^{2} (x^{3} + 2^{3} + 3 . x^{2} . 2 + 3 . x . 2^{2}) = - 3 x^{2} (x^{3} + 8 + 6 x^{2} + 12 x) = - 3 x^{5} - 24 x^{2} - 18 x^{4} - 36 x^{3}$

$G$ is a polynomial function of degree $5$

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In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell
why not.
$Q (x) = - 3 x^{2} {(x + 2)}^{3}$

Short Answer

Step by step solution

Given information

Calculation

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Discrete Mathematics

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In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tellwhy not.Q(x)=-3x2(x+2)3

Short Answer

Step by step solution

Given information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Geometry

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell
why not.
$Q (x) = - 3 x^{2} {(x + 2)}^{3}$