2. The cubic polynomial f(x) = x3+ax2+bx+c, has a remainder of 15 when it is divided by (x-2). It has a factor of (x+1), and a Y-intercept of 5. Determine the values of a, b, and c.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. The cubic polynomial f(x) = x3+ax2+bx+c, has a remainder of 15
when it is divided by (x-2). It has a factor of (x+1), and a Y-intercept of
5. Determine the values of a, b, and c.
Transcribed Image Text:2. The cubic polynomial f(x) = x3+ax2+bx+c, has a remainder of 15 when it is divided by (x-2). It has a factor of (x+1), and a Y-intercept of 5. Determine the values of a, b, and c.
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Step 1: Define Remainder, Factor theorem

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