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2 The function f(x) = ax³ + 4x² + bx-2, where a and b are constants, is such that 2x - 1 is a factor. Given that the remainder when f(x) is divided by x-2 is twice the remainder when f(x) is divided by x + 1, find the value of a and of b.

2 The function f(x) = ax³ + 4x² + bx-2, where a and b are constants, is such that 2x - 1 is a factor. Given that the remainder when f(x) is divided by x-2 is twice the remainder when f(x) is divided by x + 1, find the value of a and of b.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Shift & Ctrl 1 End 0 2 3 PgOn Del Enter Ins PAPER 1 25. FACTORS OF POLYNOMIALS N2013 2 that 2x - 1 is a The function f(x) = ax³ + 4x² + bx - 2, where a and b are constants, is such factor. Given that the remainder when f(x) is divided by x-2 is twice the remainder when f(x) is divided by x + 1, find the value of a and of b. page 23
Transcribed Image Text:Shift & Ctrl 1 End 0 2 3 PgOn Del Enter Ins PAPER 1 25. FACTORS OF POLYNOMIALS N2013 2 that 2x - 1 is a The function f(x) = ax³ + 4x² + bx - 2, where a and b are constants, is such factor. Given that the remainder when f(x) is divided by x-2 is twice the remainder when f(x) is divided by x + 1, find the value of a and of b. page 23
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