Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 681: 34

The answer is $2b^2 +\frac{2b^2+7b}{8b-1}$

$(7b+16b^3) \div (-1+8b)$ $=(16b^3+7b) \div (8b-1)$ $2b^2$ _________________________ $8b-1)16b^3+7b$ $-16b^3+2b^2$ _________________________ $2b^2+7b$ The answer is $2b^2 +\frac{2b^2+7b}{8b-1}$