Thank god for creating this beauty

What are the equivalent ratios for 24/2= /3= /5.5=108/ = /15

Need an artist designed a badge for a school club. figure abcd on the coordinate grid below shows the shape of the badge: the badge is enlarged and plotted on the coordinate grid as figure jklm with point j located at (2, -2) and point m is located at (5, 4). which of these could be the coordinates for point l? a. (2, 4) b. (8, 4) c. (5, 1) d. (5, 7)

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30