please be very dtailed

1. [3.6] When the polynomial {(x) = 21' px 24 is divided by (x + 1) then the remainder is 6. Determine the value for p. [4] 2. [4.1] Determine the zeros off(x) = 3x(2x + 3)(x 6) (x + 2)2 [3] 3. [3.6&4.1} Solve. x3 + 5::2 + 8x + 4 = o. [5} V w M Solve. x3+521+ax+4=o. 20f2 4. [3.61 Explain! state the Remalnder Theorem. [3] 5. '[43] Solve. (3: + 2)"'(:: 1)(2 x) > 0 [7] 6. [4.21 Challenge: Salve the following Inequality graphically. (x 3)2 +4