Factor out the greatest common factor (GCF) from the polynomial (12x^3 - 36x^2 + 24x).

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Accepted Answer

Step:1 ：First, find out the GCF of the coefficients and the variables separately. The GCF of the coefficients 12, 36, and 24 is 12. The GCF of the variables (x^3), (x^2), and (x), which are the powers of x, is (x).Step:2 ：So, the GCF of the polynomial (12x^3 - 36x^2 + 24x) is (12x).Step:3 ：Then, divide each term of the polynomial by the GCF. We get (12x^3 / 12x = x^2), (-36x^2 / 12x = -3x), and (24x / 12x = 2).Step:4 ：Finally, write down the polynomial with the GCF factored out. The factored form of the polynomial is (12x(x^2 - 3x + 2)).

Answer

Step: 1 ：First, find out the GCF of the coefficients and the variables separately. The GCF of the coefficients 12, 36, and 24 is 12. The GCF of the variables (x^3), (x^2), and (x), which are the powers of x, is (x).Step: 2 ：So, the GCF of the polynomial (12x^3 - 36x^2 + 24x) is (12x).Step: 3 ：Then, divide each term of the polynomial by the GCF. We get (12x^3 / 12x = x^2), (-36x^2 / 12x = -3x), and (24x / 12x = 2).Step: 4 ：Finally, write down the polynomial with the GCF factored out. The factored form of the polynomial is (12x(x^2 - 3x + 2)).

Factor out the greatest common factor (GCF) from the polynomial $12 x^{3} - 36 x^{2} + 24 x$ .

Answer

Popular Problems

Factor out the greatest common factor (GCF) from the polynomial 12x3−36x2+24x.

Answer

Popular Problems

Factor out the greatest common factor (GCF) from the polynomial $12 x^{3} - 36 x^{2} + 24 x$ .