Q7 of 90 Page 2

Applying the Division Algorithm, check whether the first polynomial is a factor of the second polynomial:

x2 + 3x + 1,3x4 + 5x3 – 7x2 + 2x + 2

Let us divide 3x4 + 5x3 – 7x2 + 2x + 2 by x2 + 3x + 1


The division process is



Here, the remainder is 0, therefore x2 + 3x + 1 is a factor of 3x4 + 5x3 – 7x2 + 2x + 2


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