Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.2 - Multiplying Polynomials - Exercises - Page 369: 26

Answer

$z^2-\frac{7}{3}z+\frac{10}{9}$.

Work Step by Step

The given expression is $=(z-\frac{5}{3})(z-\frac{2}{3})$ Use the FOIL method. $=z(z)+z(-\frac{2}{3})-\frac{5}{3}(z)-\frac{5}{3}(-\frac{2}{3})$ Multiply. $=z^2-\frac{2}{3}z-\frac{5}{3}z+\frac{10}{9}$ Combine like terms. $=z^2-\frac{7}{3}z+\frac{10}{9}$ Hence, the product is $z^2-\frac{7}{3}z+\frac{10}{9}$.
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