Respuesta :
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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