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+)
=(18x^3)^2-2*18x^3*56+56^2=324x^6-2016x^3+3136
Искомые числа 8 и 5
8+5=13
8*5=40