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3 January, 20:01

3. Two students factor 2x2 + 20x + 42and get two different answers:

(2x + 6) (x + 7) and (x + 3) (2x + 14)

Do both answers check? Why don't they agree? Is either answer completely correct? Explain.

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  1. 3 January, 21:46
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    (2x+6) (x+7)

    = 2 (x+3) (x+7)

    = (x+3) [2 (x+7) ]

    = (x+3) (2x+14)

    Therefore both expressions are equivalent, but they are not completely factorized.

    The completely factorized form should be 2 (x+3) (x+7).
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