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