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18 January, 17:37

What are two different ways of factoring - 3x - 9? Select all that apply.

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  1. 18 January, 17:55
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    Question:

    What are two different ways of factoring - 3x - 9? Select all that apply.

    A. - 3 (x + 3) B. 3 (x + 3) C. 3 (-x - 3) D. - 3 (x - 3)

    Answer:

    Option A and option C

    Two different ways of factoring - 3x - 9 is 3 (-x - 3) and - 3 (x + 3)

    Solution:

    Given expression is - 3x - 9

    We have to find two different ways of factoring this expression

    Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

    Factoring a polynomial involves writing it as a product of two or more polynomials

    ⇒ - 3x - 9

    Taking 3 as common term,

    ⇒ - 3x - 9 = 3 (-x - 3)

    So Option C is correct

    Also we can take - 3 as common term,

    ⇒ - 3x - 9 = - 3 (x + 3)

    Thus Option A is also correct
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