1) а) 9
б) 1
2) а) №6
б) к+м
4) а) №10/3
б) №3/2
5) 4
= (2*5)^6 - (3*5)^5 = = (2^6)(5^6)-(3^5)(5^5)=
(5^5)(5*2^6-3^5)=(5^5)(320-243)=(5^6)(320-243)=
(5^5)77=(5^5)*11*7
простые делители: 1,5,7.
В)10x^4-50x^2=10x^2(x^2-25)=10x^2(x-5)(x+5)
X1=0 X2=5 X3=-5
г)3x^3-108x^2=3x^2(x-36)
X1=0 X2=36
Решение:
![f(x)=(2x-1)*(x^2-x)](https://tex.z-dn.net/?f=f%28x%29%3D%282x-1%29%2A%28x%5E2-x%29+)
Если х₀ = - 1, то
![f(x)=(2*(- 1) - 1)*((- 1)^2 - (- 1)) = (- 2 - 1)*(1 + 1) = - 3* 2 =](https://tex.z-dn.net/?f=f%28x%29%3D%282%2A%28-+1%29+-+1%29%2A%28%28-+1%29%5E2+-+%28-+1%29%29++%3D+%28-+2+-+1%29%2A%281+%2B+1%29+%3D+-+3%2A+2+%3D)
![- 6](https://tex.z-dn.net/?f=-+6)
Ответ: f(х₀) = f (- 1) = - 6.