Question

:. Check whether the first polynomial is a factor of the second polynomial by dividing the
second polynomial by the first polynomial:
(iii)x^3-3x+1,x^5-4x3+x^2+3x+1​

Answer 1

Answer:

No, x3−3x+1 is not a factor.

Let's use division method,

x3−3x+1)x5−4x3+x2+3x+1 ( x2−1

                         −x5+−3x3−+x2

                          −x3+3x+1

                          +−x3−+3x+−1

                                               2

Since, the remainder is non-zero, therefore x3−3x+1 is not a factor of x5−4x3+x2+3x+1.

Answer 2

Answer:

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