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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 4: Q. 26 (page 194)

In Problems 15鈥�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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Most popular questions from this chapter

Find the domain of the rational function.

Q (x) = \frac{- x (1 - x)}{3 x^{2} + 5 x - 2}

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In Problems 15鈥�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

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