x³+ x²-3x - 5 is divisible by x find remainder plz fast
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Answer:
Let f(x) = -x3 + 3x2 - 3x + 5 and g(x) = -x2 + x - 1
We have:
Quotient, q(x) = x - 2 and remainder, r(x) = 3
Now,
Quotient Divisor + Remainder
= (x - 2)(-x2 + x - 1) + 3
= -x3 + x2 - x + 2x2 - 2x + 2 + 3
= -x3 + 3x2 - 3x + 5 = Dividend
Hence, the division algorithm is verified.
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