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Back to 5.2 Power Functions and Polynomial Functions

Identifying the Degree and Leading Coefficient of a Polynomial Function

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Identify the degree, leading term, and leading coefficient of the following polynomial functions.

f(x) = 3+2 x 2 −4 x 3 g(t) = 5 t 5 −2 t 3 +7t h(p) = 6p− p 3 −2 \begin{aligned}f \left(x\right) & = & 3 + 2 x^{2} - 4 x^{3} \\ g \left(t\right) & = & 5 t^{5} - 2 t^{3} + 7 t \\ h \left(p\right) & = & 6 p - p^{3} - 2\end{aligned}

OpenStax Algebra and Trigonometry 2e, 5.2 Power Functions and Polynomial Functions, exercise 17

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.