What is the remainder obtained when the polynomial P(x) = x7+9x5+5x3+x−1 is divided by x–1?
15, 15
As per remainder theorem, the remainder obtained when the polynomial is divided by x−1 will be same as the value of the polynomial at x=1.
P(1)=17+9×(1)5+5×(1)3+1−1=15.
Thus remainder when x7+9x5+5x3+x−1 is divided by x–1 is 15.