Tentukanlah hasil bagi dan sisa pembagian dari: e. (x^6 - 1) : (x- 1)

<p>Jawaban yang benar adalah hasil bagi = x⁵ + x⁴ + x³ + x² + x + 1&nbsp;</p><p>dan sisa pembagian = 0</p><p>&nbsp;</p><p>Konsep</p><p>Pembagian suku banyak dilakukan dengan cara bersusun</p><p>f(x) = g(x) . h(x) + S</p><p>dimana</p><p>h(x) adalah hasil bagi</p><p>S adalah sisa</p><p>&nbsp;</p><p>........... x⁵ + x⁴ + x³ + x² + x + 1&nbsp; ➝ h(x)<br>...........___________________________________&nbsp;<br>&nbsp;x − 1 √ x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x − 1&nbsp;</p><p>......... &nbsp; &nbsp;x⁶− x⁵&nbsp;</p><p>...........___________________________________ (−)&nbsp;</p><p>.............. &nbsp; &nbsp; x⁵ + 0x⁴ + 0x³ + 0x² + 0x − 1&nbsp;<br>.............. &nbsp; &nbsp; x⁵− x⁴<br>...........___________________________________ (−)&nbsp;<br>.............. &nbsp; &nbsp; x⁴ + 0x³ + 0x² + 0x − 1<br>.............. &nbsp; &nbsp; x⁴ − x³&nbsp;<br>...........___________________________________ (−)&nbsp;<br>....................... &nbsp; x³ + 0x² + 0x − 1<br>....................... &nbsp; x³ − x²&nbsp;<br>...........___________________________________ (−)&nbsp;<br>.............................. &nbsp; x² + 0x − 1<br>.............................. &nbsp; x² − x&nbsp;</p><p>...........___________________________________ (−)&nbsp;<br>.................................... &nbsp; &nbsp;x − 1<br>.................................... &nbsp; &nbsp;x − 1</p><p>&nbsp;...........___________________________________ (−)&nbsp;<br>..................................... &nbsp; &nbsp;0 &nbsp;➝ S</p><p>&nbsp;</p><p>Jadi pada (x^6 - 1) : (x- 1) diperoleh hasil bagi = x⁵ + x⁴ + x³ + x² + x + 1 &nbsp;dan sisa pembagian = 0&nbsp;</p>