) Use the Remainder Theorem to determine the remainder when ?(x)= 3x3 — 4x2 — 5x + 4 is divided by (3x — 1). (b) Determine, by using polynomial long division, the remainder when ?(x)= 2x4 + x3 + 3x2 + 4x — 1 is divided by (x3 + x2 + 2x+ 2). (c) Hence, find the partial fraction decomposition of the function
) Use the Remainder Theorem to determine the remainder when ?(x)= 3x3 — 4x2 — 5x + 4 is divided by (3x — 1). (b) Determine, by using polynomial long division, the remainder when ?(x)= 2x4 + x3 + 3x2 + 4x — 1 is divided by (x3 + x2 + 2x+ 2). (c) Hence, find the partial fraction decomposition of the function
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 54E
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Question
(a) Use the Remainder Theorem to determine the remainder when ?(x)= 3x3 — 4x2 — 5x + 4 is divided by (3x — 1).
(b) Determine, by using polynomial long division, the remainder when ?(x)= 2x4 + x3 + 3x2 + 4x — 1 is divided by (x3 + x2 + 2x+ 2).
(c) Hence, find the partial fraction decomposition of the function
2x4 + x3 + 3x2 + 4x — 1
x3 + x2 + 2x + 2
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