(x) = 6x³-5x² + ax + b has a factc x-1. = 40 and find the value of a.
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:page 22
PAPER 1
5. FACTORS OF POLYNOMIALS
J2013
1
It is given that f(x) = 6x³ - 5x² + ax + b has a factor of x + 2 and leaves a remainder of 27
when divided by x - 1.
(i) Show that b = 40 and find the value of a.
(ii) Show that f(x) = (x + 2)(px² +qx+r), where p, q and r are integers to be found.
(iii) Hence solve f(x) = 0.
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