Use synthetic division to solve open paren 3 x to the 4th power plus 6 x cubed plus 2 x squared plus 9 x plus 10 close paren divided by open paren x plus 2 close paren What is the quotient?

For division by x + 2, use −2 in synthetic division with coefficients 3, 6, 2, 9, 10. The resulting quotient coefficients are 3, 0, 2, 5, with remainder 0, so the quotient is 3x³ + 2x + 5. This matches choice A.

AI-written and checked against the verified answer.