Let f(x) = 2x^3-9x^2+13x-3. (1) Determine the quotient Q(x) and the remainder when f(x) is divided by (x-1)(2x-3). (2) Hence calculate the remainder when f(x) is divided by (x-1). (3) Calculate c if Q(x) is a factor of f(x) +c

a) ΔF'G'H' is the image of ΔFGH

b)Center of dilation  (7,-1)

c) Scale factor:

Step-by-step explanation:

Question a

Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.

Question B.

To find the center of dilation, draw straight lines through any two corresponding points.

The straight lines will meet at (7,-1).

This is called the center of dilation.

See graph in attachment.

Question c

The scale factor of the dilation is given by;