What multiples into 4 and adds up to 5

(2x+1) (x+2)

Step-by-step 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

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!