Using remainder theorem factorise 4x³ + 7x² - 36x - 63 completely.

Vertex A of triangle ABC is (-3, 5) and mid-points of the sides AB and AC are (-4, 4) and (2, -2) respectively. Find :

(i) co-ordinates of vertices B and C.

(ii) equation of line through vertex C and parallel to side AB.

If the ninth term of an A.P. is zero. Show that its 29th term is twice the 19th term.