Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 683: 59

The answer is $2b^3-2b^2+3$.

$(2b^6+2b^5-4b^4+b^3+8b^2-3) \div (b^3+2b^2-1)$ $2b^3-2b^2+3$ _________________________ $b^3+2b^2-1) 2b^6+2b^5-4b^4+b^3+8b^2-3$ $-2b^6-4b^5+2b^3$ _________________________ $-2b^5-4b^4+3b^3+8b^2$ $2b^5+4b^4-2b^2$ _________________________ $3b^3+6b^2-3$ $-3b^3-6b^2+3$ _________________________ $0$ The answer is $2b^3-2b^2+3$.