1. when x^3+2x-5 is divided by a polynomial p(x),the quotient and he remainder are x+3 and 13x+1 respectively.
(a) find the polynomial p(x)
(b) find the quotient and the remainder of -2x^3-19x+12x^2+7)/p(x)
2.Let f(x) be the polynomial, its given that the quotient of f(x)/(x-3) is 2x^2+10x-1,and f(3)=4
(a) find the polynomial f(x).
(b) find the remainder when f(x) is divided by 1-2x.
3. let f(x) =ax^3+bx^2-18x+3 and g(x) =ax^3+9x^2+bx-9.when f(x) and g(x) are divided by 2x-1 ,the corresponding remainders are equal.When f(x) is divided by x-2,the remainder is -5������������
(a)find the values of a and b.
(b) find the value of k such that the remainder of [f(x)+kg(x)]/(x+4) is 0.