Please see the questions below, and SHOW ALL WORK FOR EVERY QUESTION and please make it easy and clear to read. Also please note that you can see how much marks each part is for so that should give you a clue on showing the work or whatever. Thank you and god bless.

Q1.

* Be sure to show all work for full marks. 1. Fully factor each of the following: a. QXjY-J'Z 125r.'1y?z2 + 63.93372 (2 marks) d. 21:2 + 7x + 6 (2 marks) b. 16x2 - 100 (Emaiksj e. 12 + 21x - 6x2 (2 walks] 1:. -4x2 + 24x (2 marks) 1". m2 10m + 25 (2 marks) 2. Determine an expression for the missing side length. Be sure to show your work! (4 marks) 2x+? 3. Factor puzzle. *Be sure to show work! (4 marks) SHARED FACTORS Each side of the square shares a factor with each of its neighboring sides. Determine the missing values that make this statement true. x- + x + 14 x - 3X - _ x+ 10x + x - 15 Puzzle Created by Sarah Carter @mathequalslove4. On a recent math test, a student wrote that (x + 4}2 = {x2 + 16}. Are they correct? Provide reasons for your answer! (2 marks) 5. A square backyard rink of side x metres is extended by 2 m on one side and 5 m on the other side to form a rectangle. a. Draw and label a diagram that represents the rink. (Hint: Start with a square of side x. . . what expression would represent the new length and width?) (1 mark) b. Express the area of the rectangular rink as the product of 2 binomials, expand and simplify. (2 marks) c. What is the area of the rectangular rink if x = 10 m? (1 mark)6. Expand and simplify the following: 3(x - 1)' - 2(2x - 3) (4 marks)