Please help

Question

What is the correct and complete distribution for this problem?
(3x+4)(x-5)

Answer 1

To find the correct and complete distribution for the given problem, we will use the FOIL method, which stands for First, Outer, Inner, Last.

(3x + 4)(x - 5)

First: 3x * x = 3x^2
Outer: 3x * -5 = -15x
Inner: 4 * x = 4x
Last: 4 * -5 = -20

Now, combine the results from each part:
3x^2 - 15x + 4x - 20

Combine like terms:
3x^2 - 11x - 20

Therefore, the correct and complete distribution for (3x + 4)(x - 5) is 3x^2 - 11x - 20.