Chapter 3 - Section 3.4 - Real Zeros of Polynomials - 3.4 Exercises - Page 284: 85

$-2,1,3,4$

List all possible rational zeros as $\pm1,\pm2,\pm3,\pm4,\pm6,\pm8,\pm12,\pm24$ Test small values first for solutions such as $\pm1,\pm2\pm3,\pm4$, we found three zeros $1,3,4$. Use synthetic division as shown to reduce P into linear and quadratic form $P(x)=(x-4)(x-3)(x-1)(x^2+x-2)$ The zeros are $-2,1,3,4$ with $x=1$ having a multiplicity of $2$.