Let P be the product of the real roots of x4 − 4x3 + 6x2 − 4x = 2005. Find the greatest integer less than or equal to (−P).
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Concept:
A polynomial is an algebraic statement in which all of the variables' exponents must be whole numbers. In any polynomial, the exponents of the variables must be non-negative integers. A polynomial is made up of both constants and variables.
Given:
The polynomial x⁴-4x³+6x²-4x+1 = 2005.
The product of real roots is P.
Find:
The value of -P.
Solution:
Hence, the value of -P is 43.
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