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Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial

x^{2} + 3x + 1, 3x^{4} + 5x^{3} – 7x^{2} + 2x + 2

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#### Solution

x^{2} + 3x + 1, 3x^{4} + 5x^{3} – 7x^{2} + 2x + 2

Since the remainder is 0

hence x^{2 }+ 3x +1 is a factor of 3x^{4} + 5x^{3} - 7x^{2} + 2x + 2

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