# Chapter R - Section R.3 - Polynomials - R.3 Exercises: 47

15$x^{4}$ - $\frac{7}{3}$$x^{3} - \frac{2}{9}$$x^{2}$

#### Work Step by Step

1. FOIL (excluding $x^{2}$) (3x - 2/3)(5x + 1/3) = 3x(5x) + 3x(1/3) - (2/3)(5x) - (2/3)(1/3) 2. Multiply. 15$x^{2}$ + x - $\frac{10}{3}$x - $\frac{2}{9}$ 3. Add like terms. 15$x^{2}$ - $\frac{7}{3}$x - $\frac{2}{9}$ 4. Multiply each term by $x^{2}$ 15$x^{4}$ - $\frac{7}{3}$$x^{3} - \frac{2}{9}$$x^{2}$

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