Use synthetic division method for performing the following division. Write the result in the form
Dividend = Divisor x Quotient + Remainder.

$(x^{5} + x^{3} + x^{2} - 2 x + 4) \div (x + 3)$

(x - 3) (x^{4} - 3 x^{3} + 10 x^{2} - 12 x + 5) - 130

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(x + 3) (x^{4} - 3 x^{3} + 10 x^{2} - 29 x + 85) - 251

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(x + 4) (x^{4} - 3 x^{3} - 10 x^{2} - 29 x + 5) - 2

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(x - 4) (x^{4} - 3 x^{3} + x^{2} - 9 x + 18) - 0

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Solution

The correct option is C $(x + 3) (x^{4} - 3 x^{3} + 10 x^{2} - 29 x + 85) - 251$

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