If 3x⁴ + 2x⁵+ 5 is divided by (x - 1). Find the remainder.
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Step-by-step explanation:
ANSWER ::
The zero of the polynomial x - 1 is given by
x-1 = 0
= 0So x = 1
Let f(x) = 3x⁴ + 2x⁵+ 5
Now by the Remainder Theorem the required Remainder is
Now by the Remainder Theorem the required Remainder is f(1) = 3(1)⁴ + 2(1)⁵+ 5 = 3+2+5=10
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