Which expression has the factor (h + 2)? A. h2 + h − 2 B. 2h2 − 4h C. h2 + 6h + 5 D. 2h2 + h

a - h^2 + h - 2

Step-by-step explanation:

To find the expression with factor h + 2, let's solve all to be sure of the exact expression

Let's start from option a

h^2 + h - 2

Lets look for factors that will be multipled to -2h^2 and that will be added to get +h

Let's start from the multiple of 2 lets try

+2 * -1 = -2

Perfect,

Insert the two new figures into the expression

h^2 - h + 2h - 2

(h^2 - h) + ( 2h - 2)

Look for what is common to each brackets

h (h - 1) + 2(h - 1)

(h + 2) (h -1)

( h + 2) ,this makes this option the correct option

Let's try for the other options too

Option b

2h^2 - 4h

2h( h - 2)

This is not correct

Option C

h^2 + 6h + 5

h^2 + h + 5h + 5 ( the way we did option A)

( h^2 + h) + (5h + 5)

h( h + 1) + 5(h + 1)

(h + 5)(h + 1)

This is not correct

Option D

2h^2 + h

h ( 2h + 1)

This is also wrong

The correct expression for the factor (h+ 2) is h^2 + h -2