1a) P(X+1) = (x+1)^3 -2(x+1)+5
b) find the remainder when P(x+1) is divisible by x-2
2) find the values of m and n if 2x^3 +mx^2 +4x +n is divisible by
(x-1)(x+3)
3a)show that x+2 is a factor of (x+1)^2n+1 ,where n is a positive integer
b) if n is a positive integer ,determine whether 6^2n+1 +1 is divisible by 7
explain your assertion
4a)P(x)=2x^3 +5x^2 -2x -8
Hence find a linear factor of P(x)
b) find the roots of 2x^3 +5x^2 -2x -8=0 in a surd form
更新1:
1a1b is wrong!
