Which expression is equivalent to 10 minus open paren 2 x cubed plus 11 x squared minus 2 x minus 35 close paren divided by open paren x plus 5 close paren plus 6 times open paren 4 x squared close paren ?

Divide the polynomial by x + 5: (2x³ + 11x² − 2x − 35) ÷ (x + 5) = 2x² + x − 7. Substitute that result and simplify: 10 − (2x² + x − 7) + 6(4x²) = 10 − 2x² − x + 7 + 24x² = 22x² − x + 17. The equivalent expression is choice D.

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