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11 April, 10:15

Factor 6x4 - 5x2 + 12x2 - 10 by grouping. What is the resulting expression?

(6x + 5) (x2 - 2)

(6x - 5) (x2 + 2)

(6x2 + 5) (x2 - 2)

(6x2 - 5) (x2 + 2)

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Answers (1)
  1. 11 April, 11:56
    0
    The expression is giving as:

    6x^4 - 5x^2 + 12x^2 - 10 = 0

    We group the first two terms and the last two terms.

    (6x^4 - 5x^2) + (12x^2 - 10) = 0

    For the first group we factor out x^2 and in the second term we factor out 2.

    x^2 (6x^2 - 5) + 2 (6x^2 - 5) = 0

    We factor out 6x^2 - 5.

    (6x^2 - 5) (x^2 + 2) = 0

    Therefore the correct answer is the last option.
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