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Questions
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm g(x) = x3 – 3x + 1, f(x) = x5 – 4x3 + x2 + 3x + 1
Solution
x3 - 3x + 1, x5 - 4x3 + x2 + 3x + 1
Since the remainder ≠ 0
Hence x3 - 3x + 1 is not a factor of x5 - 4x3 + x2 + 3x + 1
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