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Which of the following cannot be a factor of x^5 - ax^3 + bx^2 + 200 ?
a) x^3 - 8
b) (x^2 - 25)
c) (x + 5)
d) (x + 15)
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x + 15 can not be factor for x⁵ - ax³ + bx² + 200
Step-by-step explanation:
x⁵ - ax³ + bx² + 200
x³(x² - a) - 8(x² - 25)
= (x³ - 8) (x² - 25)
a = 25,
b = -8
(x² - 25) = (x + 5)(x - 5)
Hence (x³ - 8) , (x² - 25) and x+ 5 are factors
so (x + 15) is not a factor
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