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10 March, 00:08

What is 12x3 - 9x2 - 4x + 3 in factored form?

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  1. 10 March, 00:27
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    Answer: (3x^2 + 1) (4x - 3)

    12x^3 - 9x^2 + 4x - 3 in factored terms;

    3x^2 is a common factor in 12x^3 and 9x^2

    Pulling out 3x^2, we have 3x^2 (4x - 3) + 4x - 3

    Splitting the expression into 2 groups (3x^2 (4x - 3) and 4x - 3)

    4x - 3 is a common factor in both groups

    Factorizing 4x - 3, we have 3x^2 (4x - 3) + 1 (4x - 3)

    Therefore, in factored form, the equation becomes (3x^2 + 1) (4x - 3)
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