Pls show your solutions, thanks!

View Help Editing I U DV AVA ... Ev 1 131 1 1 1 1 4 S 11 11 161 1 181 1. Use the Remainder Theorem to Find the Remainder for the division the following: x' + 9x2 - 5x +3 a. b 12x' - 2x2 + x - 11 x - 2 3x + 1 2. Factor the Polynomial: 3x - 5x2 - 26x - 8 3. Determine the value of k , such that when f(x)= x* + kx'- 3x - 5 is divided by x - 3 , the remainder is -10. a. -27/77 b. -77/27 c. 77/27 d. 27/77 e. none of the above 4. (x + 1)2 (x2 - 6)(x - 8) is negative at x E (-co, 6)U(6, 8), true or false? 5. Rectangular blocks of limestone are to be cut up and used to build the front entrance of a new hotel. The volume, V, in cubic meters, of each block can be modelled by the function V(x)= 2x'+7x+2x-3. a. Determine the dimensions of the blocks in the term of x. b. What are the possible dimensions of the blocks when x = 1 ? Choose the correct answer from the choices below: O a. (x + 3)(x + 1)(2x - 1) b. 4cm by 2cm by 1cm o a. (x - 3)(x - 1)(2x - 1) b. -2cm by Ocm by 1cm O a. (x - 3)(x - 1)(2x + 1) b. 2cm by Ocm by 3cm O None of the above