A) p(y) = 9y⁴ + 3y² - 2y³ - y - 8y⁴ - 3y² + 2 = y⁴ - 2y³ - y + 2.
б) p(1) = 1⁴ - 2·1³ - 1 + 2 = 1 - 2 - 1 + 2 = 0
p(-1) = (-1)⁴ - 2 ·(-1)³ - (-1) + 2 = 1 + 2 + 1 + 2 = 6
p(2) = 2⁴ - 2· 2³ - 2 + 2= 16 - 16 - 2 + 2 = 0
![p( \frac{1}{2})=( \frac{1}{2}) ^{4} -2*( \frac{1}{2} ) ^{3}- \frac{1}{2} +2= \frac{1}{16} - \frac{1}{4}- \frac{1}{2} +2= -\frac{11}{16} +2=](https://tex.z-dn.net/?f=p%28+%5Cfrac%7B1%7D%7B2%7D%29%3D%28+%5Cfrac%7B1%7D%7B2%7D%29+%5E%7B4%7D++-2%2A%28+%5Cfrac%7B1%7D%7B2%7D+%29+%5E%7B3%7D-+%5Cfrac%7B1%7D%7B2%7D+++%2B2%3D+%5Cfrac%7B1%7D%7B16%7D+-+%5Cfrac%7B1%7D%7B4%7D-+%5Cfrac%7B1%7D%7B2%7D++%2B2%3D+-%5Cfrac%7B11%7D%7B16%7D+%2B2%3D++)
![=- \frac{11}{16}+1 \frac{16}{16} =1 \frac{5}{16}](https://tex.z-dn.net/?f=%3D-+%5Cfrac%7B11%7D%7B16%7D%2B1+%5Cfrac%7B16%7D%7B16%7D++%3D1+%5Cfrac%7B5%7D%7B16%7D+)
3∛x=x-2
27x=x³-6x²+12x-8
27-x³+6x²-12x+8=0
15x-x³+6x²+8=0-x³+6x²+15x+8=0
-x³-x²+7x²+7x+8x+8=0
-x²×(x+1)+7x×(x+1)+8(x+1)=0
-(x+1)×(x²-7x-8)=0
-(x+1)×(x²+x-8x-8)=0
-(x+1)×(x×(x+1)-8(x+1))=0
-(x+1)×(x+1)×(x-8)=0
-(x+1)²×(x-8)=0
-(x+1)²=0
x-8=0
x₁=-1,x₂=8
А)ax-bx+cx=x(a-b+c)
в)14aсx-21bcy-7c=7c(2ax-3by-1)
д)15abx-96y^2+12ab=3(5abx-32y^2+4ab)
б)8abx-6acy-10ak=2a(4bx-3cy-5k)
г)63xy-84y^2+98ay=7y(9x-12y+14a)
e)20ax-35bx-40x^2=5x(4a-7b-8x)