Main home here.

- When the polynomial $x^3-1$ is divided by $x-1$, what is the quotient?

- What is the quotient when $2x^2-x-15$ is divided by $5x+11$?

- Division of $3x^2-5x-2$ by $2x^3-x^2-x+1$ is not permissible because $\cdots\cdots$

- Is it possible for a polynomial to be divided by two different linear functions with the resulting remainders being equal?

- The remainder theorem states that if a polynomial $f(x)$ is divided by $ax+b$, then the remainder is $\cdots\cdots$?

- The synthetic method of dividing polynomials has one limitation, namely:

- What is the remainder when $x^4-4x^3+12x^2-24x+24$ is divided by $x-1$?

- After dividing the cubic $x^3+kx^2-4x+2$ by $x+2$, a remainder of $26$ was obtained. The value of $k$ is $\cdots\cdots$?

- If the division of $2x^3-3x^2+kx-1$ by $x-1$ yields a remainder of $2$, what is the value of $k$?

- Write $\frac{x^3-3x^2+6x-6}{x+2}$ in the form
**Polynomial = Divisor $~\times ~$ Quotient + Remainder**