the remainder when 5 x cube minus x square + 6 x minus 2 is divided by 1 minus 5x is
Answers
Answer:
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Answer:
The Remainder is -4/5
This can be Solved out by Using the Remainder Theorem of Polynomials, i.e, Let p (x) be a Polynomial of Degree 1 or more and let 'infinity' be any Real Number. If p (x) is Divided by (x - 'infinity'), then the Remainder is p ('infinity')
Step-by-step explanation:
Given:
p (x) = 5x^3 - x^2 + 6x - 2
g (x) = 1 - 5x
Re-Arranging the Terms in Order of the Descending Degrees, we get -
p (x) = 5x^3 - x^2 + 6x - 2
g (x) = 5x - 1
Equating g (x) to Zero, we get the Value of x as 1/5.
Substituting x = 1/5, we get the Remainder as = -4/5.
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