using remainder theorem find the remainders when f(x) is divided by g(x)
f(x) =x⁴-3x²+4
g(x) =x-2
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when f( x) =x⁴-3x²+4 is divided by g(x) =x-2 by long division method . the remainder is 2
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ANSWER ::
The zero of the polynomial x - a is given by
x - 2 = 0
So
x = 2
Let f(x) = x⁴ - 3x² + 4
Now by the Remainder Theorem the required Remainder is
f(2) = 2⁴ - 3× 2² + 4 = 16 - 12 + 4 = 8
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