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Find the values of a and b so that the polynomial xcube plus 10xsquare plus ax plus b is exactly divisible by x-1 and x-2?
Wiki User
∙ 13y ago
f(x) = x3 + 10x2 + ax + b
(x-1) is a factor so f(1) = 0 ie 1 + 10 + a + b = 0
(x-2) is a factor so f(2) = 0 ie 8 + 40 + 2a + b = 0
Solve these two simultaneous equations:
Sutracting the first from the second:
37 + a = 0 so that a = -37
and then b = 26
Wiki User
∙ 13y ago
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