What is the quotient of open paren x cubed plus 3 x squared plus 5 x plus 3 close paren divided by open paren x plus 1 close paren ?

Divide by x + 1 using synthetic division with −1: the coefficients 1, 3, 5, 3 produce quotient coefficients 1, 2, 3 and remainder 0. Therefore, the quotient is x squared plus 2x plus 3, choice B.

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