Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Lesson Check - Page 669: 4

$3a-5$

Given: $(-16a-15+15a^2) \div (3+5a)$ Apply long division method. Thus, $\dfrac{(-16a-15+15a^2)}{(3+5a)}=\dfrac{15a^2}{(3+5a)}-\dfrac{-16a}{(3+5a)}+\dfrac{-15}{(3+5a)}$ $=\dfrac{15a^2}{(3+5a)}-\dfrac{-16a}{(3+5a)}+\dfrac{-15}{(3+5a)}$ $=3a-5$