Question
Let f(x) = x135 + x125 - x115 + x5 +1. If f(x) is divided by x3-x then the remainder is some function of x say g(x). Find the value of g(10)
Joshi sir comment
for getting reminder put x3= x so
x135 + x125 - x115 + x5 +1 will give
x45 + x41*x2 - x38*x +x*x2 +1
x15 + x13*x2*x2 - x12*x2*x +x*x2 +1
x17 + x3 +1
x5*x2 + x + 1
x7 + x + 1
x2*x + x +1
x3 + x +1
x+x+1
2x+1
now put x = 10