Respuesta :
Answer:
The factors of the given polynomial [tex]12x^3-9x^2-4x+3[/tex] is [tex](4x-3)(3x^2-1)[/tex] .
Step-by-step explanation:
Given : Polynomial [tex]12x^3-9x^2-4x+3[/tex]
We have factorize the given polynomial.
Consider the given polynomial [tex]12x^3-9x^2-4x+3[/tex] .
We will factorize using grouping of terms,
Taking [tex]3x^2[/tex] common from first two terms and -1 common from last two terms, we have,
[tex]3x^2(4x-3)-1(4x-3)[/tex]
Now, again taking (4x-3) common , we have,
[tex](4x-3)(3x^2-1)[/tex]
Thus, The factors of the given polynomial [tex]12x^3-9x^2-4x+3[/tex] is [tex](4x-3)(3x^2-1)[/tex] .
The factors of the given polynomial 12x^3-9x^2-4x+3 are
(4x-3) (3x^2-1).
Given: Polynomial 12x^3-9x^2-4x+3
We have factorized the given polynomial.
What is the meaning of factors?
The factor means a number that can be multiplied or divided to produce a given number.
Consider the given polynomial 12x^3-9x^2-4x+3.
We will factorize using a grouping of terms,
Taking 3x^2 common from the first two terms and -1 common from the last two terms, we have,
3x^2(4x-3)-1(4x-3)
Now, again taking (4x-3) common, we have,
(4x-3)(3x^2-1)
Thus, The factors of the given polynomial are (4x-3)(3x^2-1).
To learn more about the factors visit:
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