Y = x2 + 5x + 4

How do I factor

(x + 1) * (x + 4)

Step-by-step explanation:

y = x² + 5x + 4

First, you multiply the first coefficient by the third coefficient: 4

Then you find all the factors of 4:

1, 4 - 1, - 4 2, 2 - 2, - 2

Of all these factors, you must find the pair that adds to 5 (the second coefficient)

Those factors are: 1 and 4

Then you put those into (x+_) and multiply them together:

(x + 1) * (x + 4)