1.5-bo'lim: Ko'p nomlilarni faktoring

1 dan 4 gacha bo'lgan masalalar uchun har bir ko'phaddan eng katta umumiy omilni ajratib oling.

1. \(6{x^7} + 3{x^4} - 9{x^3}\) Yechim
2. \({a^3}{b^8} - 7{a^{10}}{b^4} + 2{a^5}{b^2}\) Yechim
3. \(2x{\left( {{x^2} + 1} \right)^3} - 16{\left( {{x^2} + 1} \right)^5}\) Yechim
4. \({x^2}\left( {2 - 6x} \right) + 4x\left( {4 - 12x} \right)\) Yechim

5 va 6-muammolar uchun quyidagi omillarning har birini guruhlash orqali aniqlang.

1. \(7x + 7{x^3} + {x^4} + {x^6}\) Yechim
2. \(18x + 33 - 6{x^4} - 11{x^3}\) Yechim

7 dan 15 gacha bo'lgan muammolar uchun quyidagi omillarning har birini belgilang.

1. \({x^2} - 2x - 8\) Yechim
2. \({z^2} - 10z + 21\) Yechim
3. \({y^2} + 16y + 60\) Yechim
4. \(5{x^2} + 14x - 3\) Yechim
5. \(6{t^2} - 19t - 7\) Yechim
6. \(4{z^2} + 19z + 12\) Yechim
7. \({x^2} + 14x + 49\) Yechim
8. \(4{w^2} - 25\) Yechim
9. \(81{x^2} - 36x + 4\) Yechim

16 dan 18 gacha bo'lgan muammolar uchun quyidagi omillarning har birini belgilang.

1. \({x^6} + 3{x^3} - 4\) Yechim
2. \(3{z^5} - 17{z^4} - 28{z^3}\) Yechim
3. \(2{x^{14}} - 512{x^6}\) Yechim