![y^3-6+11y-6y^2=y^3-6+11y-6y^2+y-y=\\\\(y^3-y)-(6-12y+6y^2)=\\\\(y*y^2-y*1)-(6*1-6*2y+6*y^2)=\\\\y(y^2-1)-6(1-2y+y^2)=\\\\y(y^2-1^2)-6(1^2-2*1*y+y^2)=\\\\y(y-1)(y+1)-6(y-1)^2=\\\\(y-1)(y^2+y)-(y-1)(6y-6)=\\\\(y-1)((y^2+y)-(6y-6))=\\\\(y-1)(y^2+y-6y+6)=\\\\(y-1)(y^2-5y+6)=\\\\(y-1)(y^2-2y-3y+6)=\\\\(y-1)((y^2-2y)-(3y-6))=\\\\(y-1)(y(y-2)-3(y-2))=\\\\(y-1)(y-2)(y-3)](https://tex.z-dn.net/?f=y%5E3-6%2B11y-6y%5E2%3Dy%5E3-6%2B11y-6y%5E2%2By-y%3D%5C%5C%5C%5C%28y%5E3-y%29-%286-12y%2B6y%5E2%29%3D%5C%5C%5C%5C%28y%2Ay%5E2-y%2A1%29-%286%2A1-6%2A2y%2B6%2Ay%5E2%29%3D%5C%5C%5C%5Cy%28y%5E2-1%29-6%281-2y%2By%5E2%29%3D%5C%5C%5C%5Cy%28y%5E2-1%5E2%29-6%281%5E2-2%2A1%2Ay%2By%5E2%29%3D%5C%5C%5C%5Cy%28y-1%29%28y%2B1%29-6%28y-1%29%5E2%3D%5C%5C%5C%5C%28y-1%29%28y%5E2%2By%29-%28y-1%29%286y-6%29%3D%5C%5C%5C%5C%28y-1%29%28%28y%5E2%2By%29-%286y-6%29%29%3D%5C%5C%5C%5C%28y-1%29%28y%5E2%2By-6y%2B6%29%3D%5C%5C%5C%5C%28y-1%29%28y%5E2-5y%2B6%29%3D%5C%5C%5C%5C%28y-1%29%28y%5E2-2y-3y%2B6%29%3D%5C%5C%5C%5C%28y-1%29%28%28y%5E2-2y%29-%283y-6%29%29%3D%5C%5C%5C%5C%28y-1%29%28y%28y-2%29-3%28y-2%29%29%3D%5C%5C%5C%5C%28y-1%29%28y-2%29%28y-3%29)
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![x^4-(a^2+1)x^2+a^2=x^4-x^2-a^2x^2+a^2=\\\\(x^4-x^2)-(a^2x^2-a^2)=\\\\x^2(x^2-1)-a^2(x^2-1)=\\\\(x^2-a^2)(x^2-1)=(x-a)(x+a)(x-1)(x+1)](https://tex.z-dn.net/?f=x%5E4-%28a%5E2%2B1%29x%5E2%2Ba%5E2%3Dx%5E4-x%5E2-a%5E2x%5E2%2Ba%5E2%3D%5C%5C%5C%5C%28x%5E4-x%5E2%29-%28a%5E2x%5E2-a%5E2%29%3D%5C%5C%5C%5Cx%5E2%28x%5E2-1%29-a%5E2%28x%5E2-1%29%3D%5C%5C%5C%5C%28x%5E2-a%5E2%29%28x%5E2-1%29%3D%28x-a%29%28x%2Ba%29%28x-1%29%28x%2B1%29)
Перевод в радианы: 75π/180=5π/12
А)Если в первом мы просто делим на х ,то х не равно 0 .Если мы делим на х-4 ,то х не равен 4
Б)Х любое
В)Х любое
Г)Если мы делим просто на х² ,то х не равно 0. Если мы делим на х²+1 ,то х любое
Решение смотрите на фотографии
В)10П. = 5*2п - это пять полных оборотов точка с координатами (1; 0) -угол 0 град от луча ОХ
Г)3П = п +2п точка с координатами (-1; 0) - угол 180 град от луча ОХ
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в)п/6. </span>точка с координатами (√3/2 ; 1/2) - угол 30 град от луча ОХ<span>
Г)П/8 </span> точка с координатами (√(2+√/2)/2 ; √(2-√/2)/2 ) - угол 22.5 град от луча ОХ