The quotient of open paren x to the 5th power minus 3 x cubed minus 3 x squared minus 10 x plus 15 close paren and open paren x squared minus 5 close paren is a polynomial. What is the quotient?

Check the proposed quotient by multiplying it by the divisor: (x² − 5)(x³ + 2x − 3) = x⁵ − 3x³ − 3x² − 10x + 15. This matches the given numerator exactly, so the quotient is x³ + 2x − 3, choice B.

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