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8 February, 06:52

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

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  1. 8 February, 09:11
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    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
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