Chapter 4 - Polynomial and Rational Functions - 4.5 The Real Zeros of a Polynomial Function - 4.5 Assess Your Understanding - Page 235: 123

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To test if $x=\frac{2}{3}$ is a zero, evaluate $f(\frac{3}{5})=(\frac{2}{3})^7+6(\frac{2}{3})^5-(\frac{2}{3})^4+(\frac{2}{3})+2\approx3.3$ and this is the remainder. As the remainder is not zero, $x=\frac{2}{3}$ is not a zero of the function.