Find the remainder and quotient obtained by dividing `x^3-5x^2+7x+3` by (x+2).

p(x) = (4x^2 - 1)(x + 2) . Write p(x) as the product of first degree factors. Write p(x) in the form of a third degree polynomial. What is the remainder obtained by dividing 4x^3 + 6x^2- x + 2 by (x + 2). What is the remainder obtained by dividing 4x^3+6x^2-x+1 by (2x-1).

Find the value of k if the remainder is zero on dividing 2x^3+4x^2-10x+k by (x-1).

Find the remainder when x^3- 4x^2+12x -45 is divided by (x-2) ?

When (x-1) (x-2) (x-3)+ 2x+k is divided by (x-1),the remainder is 10. Then find out the remainder when it is divided by (x-2).

Find the value of k if remainder when 5x^3 + 4x^2- 11x + k is divided by (x - 1) is 0.

What is the remainder when the polynomial(x-1)(x-2)(x-3)is divided by (x-1)?

Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15 .

Find the domain of the following. f(x)=(x^2+3x+5)/(x^2-5x+4)