Question

Jason is playing a trivia game with his friends. In order to advance in the game, he must find the product of two numbers. The first number is 16 minus x, and the second number is 32 less than three times the first number. Which of the following functions represents the product of these two numbers?

A.
p(x) = 3x2 - 64x + 256

B.
p(x) = 3x2 - 96x + 768

C.
p(x) = 3x2 - 768

D.
p(x) = 3x2 - 128x + 1,280

Answer 1

The first number is (16 - x).
The second number is 32 less than 3 times that, so is 3(16 - x) - 32 = (16 - 3x).

Then the product is
(16 - x)(16 - 3x) = 16^2 - 4*16*x + 3x^2

The appropriate selection is ...
A. p(x) = 3x^2 - 64x + 256