Question

check whether the polynomial g(x) is a factor of the polynomial p(x) by division algorithm. p(x) = 4x³+6x²-8x-40 g(x) = x-2​

Answer 1

Answer:

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Answer 2

x3−3x+1)x5−4x3+x2+3x+1(x2−1

                         −x5+−3x3−+x2

                         −x3+3x+1

                         +−x3−+3x+−1

                                              2

Since remainder is non-zero.

Therfore,x3−3x+1 is not a factor of x5−4x3+