Question

What multiples into 4 and adds up to 5

Answer 1

4 and 1

4 * 1 = 4

4 + 1 = 5

Answer 2

(2x+1) (x+2)

Explanation:

2x^2 +5x+2

(2x + ) (x+ )

We need to determine what goes in the empty spots

2 factors into 2 and 1 so we have two options

(2x + ) (x+ ) the first spot can be either 2 or 1 and the second spot can be the other

We need to get to 5 so I will put the 2 where it will multiply by the 2x

(2x+1) (x+2)

Check

FOIL

2x^2 +4x +x+2

2x^2 +5x+2