Mathematics
The expression 4x3 - bx2 + x - c leaves remainders 0 and 30 when divided by x + 1 and 2x - 3 respectively. Calculate the values of b and c. Hence, factorise the expression completely.
Related Questions
Factorise the expression
f(x) = 2x3 - 7x2 - 3x + 18.
Hence, find all possible values of x for which f(x) = 0.
Given that x - 2 and x + 1 are factors of f(x) = x3 + 3x2 + ax + b; calculate the values of a and b. Hence, find all the factors of f(x).
The remainder, when x3 - x2 + x - 1 is divided by x + 1, is :
0
-4
2
4