Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).
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Let be the price of an adult ticket, and
the price of a child ticket.
The sentence "Three adults and four children must pay $122 for tickets" translates to
The sentence "Two adults and three children must pay $87" translates to
Which leads to the linear system
You can solve this system as you prefer, for example you can multiply the first equation by 2 and the second by 3 to get
Now subtract the first from the second:
Now plug this value for c in any of the equations, for example the first:
