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28 May, 11:17

What is the factored form of this expression? 4t2 - 27t + 18

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  1. 28 May, 12:46
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    (4t - 3) (t - 6)

    Step-by-step explanation:

    Using AC method:

    Given a quadratic ax² + bx + c, find factors of ac that add up to b. Divide those factors by a and reduce. The denominators become the coefficients and the numerators become the constants.

    Here, a = 4, b = - 27, and c = 18.

    ac = 4 * 18 = 72

    Factors of 72 that add up to - 27: - 3 and - 24

    Divide factors by a: - 3/4 and - 24/4

    Reduce: - 3/4 and - 6/1

    So the factored expression is:

    (4t - 3) (t - 6)
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