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19 January, 19:02

For which equation does it make the most sense to solve by using the zero product property?

x² + 11x + 30 = 0

4x2-2=15

x² + 2x = 119

2x2+2x-9=0

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Answers (1)
  1. 19 January, 22:50
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    Option 1 x² + 11x + 30 = 0 is correct.

    Step-by-step explanation:

    Zero product property states that if ab=0 then a=0 and b = 0

    The equation 1 can be factored easily i. e,

    x² + 11x + 30 = 0

    x² + 5x+6x + 30 = 0

    x (x+5) + 6 (x+5) = 0

    (x+6) (x+5) = 0

    so, applying zero product property

    (x+6) = 0 and (x+5) = 0

    x=-6 and x=-5

    The rest of the options 2,3 and 4 are prime equations, and they could be solved using quadratic formula or by completing the square but not using zero product property.

    So, Option 1 is correct.
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