Tolongin yg soal ini dong, saya rada bingung

<p>Jawaban: D</p><p>&nbsp;</p><p>Konsep:</p><p>&gt;&gt; √-1 = i</p><p>&nbsp;</p><p>Pembahasan:</p><p>Dengan menggunakan horner didapatkan:</p><p>&nbsp;&nbsp;<strong> 3</strong> | 1 &nbsp;-1 &nbsp; -3 &nbsp; &nbsp;-3 &nbsp; &nbsp;-18</p><p>&nbsp; &nbsp; &nbsp; | &nbsp; &nbsp; &nbsp; 3 &nbsp; &nbsp; 6 &nbsp; &nbsp; 9 &nbsp; &nbsp; 18</p><p>&nbsp; &nbsp; ________________+</p><p><strong>&nbsp;-2</strong> | 1 &nbsp; &nbsp;2 &nbsp; &nbsp;3 &nbsp; &nbsp; 6 &nbsp; &nbsp;| 0</p><p>&nbsp; &nbsp; &nbsp; | &nbsp; &nbsp; &nbsp;-2 &nbsp; &nbsp;0 &nbsp; &nbsp;-6</p><p>&nbsp; &nbsp; &nbsp;________________+ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p><p>&nbsp; &nbsp; &nbsp;<strong> &nbsp; 1 &nbsp; 0 &nbsp; &nbsp; 3&nbsp;</strong> &nbsp;| 0</p><p>&nbsp; &nbsp; &nbsp; &nbsp;<strong> x² + 3</strong> &nbsp; &nbsp; &nbsp;&nbsp;</p><p>&nbsp;</p><p>Maka faktornya adalah (x - 3)(x + 2)(x² + 3).</p><p>&nbsp;</p><p>Untuk (x² + 3) dijabarkan menjadi:</p><p>x² + 3 = 0</p><p>x² = -3</p><p>x = ±√-3</p><p>x = ±√(-1 · 3)</p><p>x = ±√-1 · √3</p><p>x = ± i√3</p><p>x = i√3 dan x = -i√3</p><p>Maka (x - i√3)(x + i√3)</p><p>&nbsp;</p><p>Sehingga:</p><p>x⁴ - x³ - 3x² - 3x -18 = (x + i√3)(x - i√3)(x - 3)(x + 2)</p><p>&nbsp;</p><p>Jadi, faktorisasi penuh polinomial x⁴ - x³ - 3x² - 3x -18 adalah (x + i√3)(x - i√3)(x - 3)(x + 2).</p><p>Oleh karena itu, jawaban yang benar adalah D.</p>