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29 March, 21:20

Factor trinomial by grouping : 10x^2-9x+2

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  1. 29 March, 22:46
    0
    (2x - 1) (5x - 2)

    Step-by-step explanation:

    Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x - term, that is

    product = 10 * 2 = 20 and sum = - 9

    The factors are - 5 and - 4

    Split the middle term using these factors

    10x² - 5x - 4x + 2 (factor the first/second and third/fourth terms by grouping)

    = 5x (2x - 1) - 2 (2x - 1) ← factor out (2x - 1)

    = (2x - 1) (5x - 2)
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