Polynomial which when divided by `(-x^2+x-1)` gives a quotient `(x -2)` and remainder 3 is `x^3-3x^2+3x-5`

The polynomial which when divided by -x^2+x-1 gives a quotient x-2 and remainder 3 , is (a) x^3-3x^2+3x-5 (b) x^3-3x^2-3x-5 (c) -x^3+3x^2-3x+5 (d) x^3-3x^2-3x+5

The polynomial which when divided by x^(2)+x-1 gives a quotient x-2 and remainder 3, is ( a )x^(3)-3x^(2)+3x-5 (b) x^(3)-3x^(2)-3x-5 (c) x^(3)+3x^(2)-3x+5 (d) x^(3)-3x^(2)-3x+5

A polynomial when divided by (x-6) , gives a quotient x^(2)+2x-13 and leaves a remainder -8 . The polynomial is

Divide x^4-3x^2+4x+5 by x^2-x+1 , find quotient and remainder.

Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4). Range of f(x) = =([R(x)])/(x^2-3x+2) is-

when x^(5)-5*x^(4)+9*x^(3)-6*x^(2)-16*x+13 is divided by x^(2)-3*x+a, then quotient and divided by x^(2)-3*x+a, then quotient and remainder are x^(3)-2*x^(2)+x+1 and -15*x+11, respectively,the value of a is:

If the remainders of the polynomial f(x) when divided by x+1 and x-1 are 3, 7 ; then the remainder of f(x) when divided by x^2 - 1 is