Help please

1. Perform the following division using synthetic division of polynomials. Write the final result using quotient form. State the restrictions on the variable. [A - 4] (x3 - 2x4 - 2x + 3) + (x+2) 2. Perform the following division using long division of polynomials. Write the expression which may be used to check the division. State the restrictions on the variable. [A - 4] (9x3 + x2 - 1) + (3x -2) 3. The polynomial function f(x) = 8x4 + kx3 - 32x2 -1 has (2x + 1) as its factor. Determine the value of the missing coefficient k. Explain your method (reasoning) in the solution. [A - 3]