Factor the polynomial (12x^3 - 36x^2 + 24x)

Question

Accepted Answer

Step:1 ：Step 1: Identify the common factors of the coefficients of (12x^3), (-36x^2), and (24x). The common factor is 12x.Step:2 ：Step 2: Factor out the common factor from each term in the polynomial: (12x(x^2 - 3x + 2)).Step:3 ：Step 3: Further factor the quadratic expression (x^2 - 3x + 2). The factors of (x^2 - 3x + 2) are ((x-1)(x-2)).Step:4 ：Step 4: Substitute the factors into the expression to get the final factored form of the polynomial: (12x(x - 1)(x - 2)).

Answer

Step: 1 ：Step 1: Identify the common factors of the coefficients of (12x^3), (-36x^2), and (24x). The common factor is 12x.Step: 2 ：Step 2: Factor out the common factor from each term in the polynomial: (12x(x^2 - 3x + 2)).Step: 3 ：Step 3: Further factor the quadratic expression (x^2 - 3x + 2). The factors of (x^2 - 3x + 2) are ((x-1)(x-2)).Step: 4 ：Step 4: Substitute the factors into the expression to get the final factored form of the polynomial: (12x(x - 1)(x - 2)).

Factor the polynomial \(12x^3 - 36x^2 + 24x\)

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