Tentukan hasil perkalian polinomial dari: 1. (x³ - 8)(x + 1)(x - 1)(x - 3) 2. (x² - 9)(x² - 4)(x - 1)(x + 1)

<p>&nbsp;</p><p>1. (x³ - 8)(x + 1)(x - 1)(x - 3)<br>(x³ - 8)(x + 1) = x⁴ - 7x³ - 8x - 8<br>(x⁴ - 7x³ - 8x - 8)(x - 1) = x⁵ - 7x⁴ - 8x² + 15x³ + 8x + 8<br>(x⁵ - 7x⁴ - 8x² + 15x³ + 8x + 8)(x - 3) = x⁶ - 10x⁵ + 31x⁴ - 47x³ - 40x² + 56x + 24</p><p>Jadi, hasil perkalian polinomial <strong>(x³ - 8)(x + 1)(x - 1)(x - 3) adalah x⁶ - 10x⁵ + 31x⁴ - 47x³ - 40x² + 56x + 24.</strong></p><p>&nbsp;</p><p>2. (x² - 9)(x² - 4) = x² * x² + x² * (-4) - 9 * x² + (-9) * (-4)&nbsp;<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= x^4 - 4x² - 9x² + 36<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= x^4 - 13x² + 36<br>(x^4 - 13x² + 36)(x - 1) = x^4 * x - x^4 * 1 - 13x² * x + 13x² * 1 + 36 * x - 36 * 1<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = x^5 - x^4 - 13x³ + 13x² + 36x - 36<br>(x^5 - x^4 - 13x³ + 13x² + 36x - 36)(x + 1) = x^5 * x + x^5 * 1 - x^4 * x - x^4 * 1 - 13x³ * x - 13x³ * 1 + 13x² * x + 13x² * 1 + 36x * x + 36x * 1 - 36 * x - 36 * 1<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= x^6 + x^5 - x^5 - x^4 - 13x^4 - 13x³ + 13x³ + 13x² + 36x² + 36x - 36x - 36<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= x^6 - x^4 + 13x² - 36</p><p>Jadi, hasil perkalian polinomial dari <strong>(x² - 9)(x² - 4)(x - 1)(x + 1) adalah x^6 - x^4 + 13x² - 36.</strong></p>