Respuesta :

dhiab

Answer:

Step-by-step explanation:

3x^3 - 18x^2 + 24x = 3x(x²- 6x+4)

The factorization of the trinomial [tex]3x^{3}-18x^{2} +24x[/tex] is x = 2, 4, 0.

What is the factorization of the trinomial [tex]3x^{3}-18x^{2} +24x[/tex]?

Given:

  • The given polynomial is [tex]3x^{3}-18x^{2} +24x[/tex].

Find:

  • The factorization of the trinomial [tex]3x^{3}-18x^{2} +24x[/tex].

Solution:

The given polynomial is [tex]3x^{3}-18x^{2} +24x[/tex]

Now, we will take the common out of the given polynomial, and we get;

[tex]3x^{3}-18x^{2} +24x = 3x(x^{2} -6x+8)[/tex]

Now, we will factorize [tex]x^{2} -6x+8[/tex], and we get;

[tex]x^{2} -6x+8 = x^{2} -4x-2x+8[/tex]

= x(x-4)-2(x-4)

=(x-4)(x-2)

So, The factorization of the trinomial [tex]3x^{3}-18x^{2} +24x[/tex] is 3x(x-4)(x-2).

To learn more about factorization, refer to:

https://brainly.com/question/11434122

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