Q2 of 90 Page 2

Divide 3x3 + x2 + 2x + 5 by 1 + 2x + x2 and find the quotient and the remainder. Is 1 + 2x + x2 a factor of 3x3 + x2 + 2x + 5

Dividend = 3x3 + x2 + 2x + 5


Divisor = x2 + 2x + 1


Now, dividend and divisor both are in the standard form.


Now, on dividing p(x) by g(x) we get the following division process



Quotient = 3x – 5


Remainder = 9x + 10


No, x2 + 2x + 1 is not a factor of 3x3 + x2 + 2x + 5 because remainder ≠ 0


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