1) a) Show that x ^ 2 - 10x + 9 = (x - 9)(x - 1)
b) Factorize (x - 5) ^ 2 - 11 . 2) In the adjacent figure, we have:
⚫x is a length expressed in em such that x > 7
D
• ABCD is a rectangle and MBN is a right triangle.
a) Show that the area of the shape AMNCD is equal to (x - 5) ^ 2
b) Determine the value(s) of x such that the area of AMNCD equals 16 cm².
3) a) Find MN. b) Can the perimeter of AMNCD be equal to 6 +2 sqrt 5? Justify.
C