k is a polynomial of degree 3. k has a root of multiplicity 2 at c = 1, k( – 1) = 0, and k(0) Find an algebraic equation for k. - 0.62. %3D o k(c) - 0.62(c – 1)°(c +1) Round all answers to 3 decimal places as needed.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The given problem states:

**k** is a polynomial of degree 3. **k** has a root of multiplicity 2 at \( c = 1 \), \( k(-1) = 0 \), and \( k(0) = -0.62 \). Find an algebraic equation for **k**.

The solution provided is:

\[ k(c) = -0.62(c - 1)^2(c + 1) \]

Round all answers to 3 decimal places as needed.
Transcribed Image Text:The given problem states: **k** is a polynomial of degree 3. **k** has a root of multiplicity 2 at \( c = 1 \), \( k(-1) = 0 \), and \( k(0) = -0.62 \). Find an algebraic equation for **k**. The solution provided is: \[ k(c) = -0.62(c - 1)^2(c + 1) \] Round all answers to 3 decimal places as needed.
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