The scores of a dart game are 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c. If 33 is the only mode, 46 is the median, and a>c, what is the possible range of values for a?

I'd would do the FOIL method and then distribute the 2. But you can also distribute first. Either way, they want you to expand it.

(x - 4)(x + 1) = x(x) + x(1) - 4(x) - 4(1)

Simplify

x² + 1x - 4x - 4

Combine like terms:

x² - 3x - 4

Now, bring back that 2 to distribute.

2(x² - 3x - 4) = 2(x²) + 2(- 3x) + 2(- 4)

f(x) = 2x² - 6x - 8