Find a polynomial functionp which satisfies the following criteria:• as x → -o, p(x) → 0• The graph of y = p(x) touches the x-axis at (-4, 0).p(0) = 4p(6) = 0• as x → o, p(x) → -0p(x) =

Identify the factors of the polynomial p(x) and their multiplicity from the x-intercepts of the…

Find a polynomial function p which satisfies the following criteria • as x → -, p(x) → ∞ • The graph of y = p(x) touches the x-axis at (-4, 0). p(0) = 4 • P(6) = 0 • as x → ∞, p(x) → -∞ P(x) =||

Find a polynomial function p which satisfies the following criteria • as x → -, p(x) → ∞ • The graph of y = p(x) touches the x-axis at (-4, 0). p(0) = 4 • P(6) = 0 • as x → ∞, p(x) → -∞ P(x) =||

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.3: The Remainder And Factor Theorems; Synthetic Division

Problem 96E: Find a polynomial function P(x) with the given zeros. There is no unique answer for P(x). 1,0,1

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

Find a polynomial functionp which satisfies the following criteria:
• as x → -o, p(x) → 0
• The graph of y = p(x) touches the x-axis at (-4, 0).
p(0) = 4
p(6) = 0
• as x → o, p(x) → -0
p(x) =

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