Polynomial are expressions. The factored form of the polynomial 12x³–9x²–4x+3 is (3x²-1)(4x-3).
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In order to find the factored form of the given polynomial, we will bring the common factors out from the terms of the polynomials.
Therefore, the solution of the polynomial is,
[tex]12x^3 - 9x^2 - 4x+ 3 \\\\= 3x^2(4x-3)-1(4x-3)\\\\= (3x^2-1)(4x-3)[/tex]
Hence, the factored form of the polynomial 12x³–9x²–4x+3 is (3x²-1)(4x-3).
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