If the remainder `R(x) = ax + b` is obtained by dividing the polynomial `x^100` by the polynomial `x^2 – 3x + 2` then

If the remainder R(x)=ax+b is ontained by dividing the polynomial x^(100) by the polynomial x^(2)-3x+2 then (A) a=2^(100)-1 (B) b=2(2^(99)-1) (C) b=-2(2^(99)-1) (D) a=2^(100)

If the remainder R(x)=ax+b is ontained by dividing the polynomial x^(100) by the polynomial x^(2)-3x+2 then (A) a=2^(100)-1 (B) b=2(2^(99)-1) (C) b=-2(2^(99)-1) (D) a=2^(100)

If the remainder obtained on dividing the polynomial 2x^(3)-9x^(2)+8x+15 by (x-1) is R_(1) and the remainder obtained on dividing the polynomial x^(2)-10x+50 by (x-5) is R_(2), then what is the value of R1-R2?

x+2 is a factor of polynomial ax^(3)+bx^(2)+x-2 and the remainder 4 is obtained on dividing this polynomial by (x-2). Find the value of a and b.

The remainder obtained when the polynomial x^(2)+x^(2)+1 is divided by (x+1) is

(i) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: p(x)=x^3-3x^2+5x-3,g(x)=x^2-2 (ii) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: p(x)=x^4-3x^2+4x+5,g(x)=x^2+1-x (iii) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: p(x)=x^4-5x+6,g(x)=2-x^2

If the remainders obtained when a polynomial f(x) is divided with x, x-1, x+1 respectively are 1, -2, 3 then find the remainder when f(x) is divided with x^(3)-x ?

If the remainders obtained when a polynomial f(x) is divided with x, x-1, x+1 respectively are 1, -2, 3 then find the remainder when f(x) is divided with x^(3)-x ?