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gabrielmtrue
01.02.2021 •
Mathematics
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Ответ:
Option 1,2 and 5 are true.
Step-by-step explanation:
Given : The polynomial![4x^3- 6x^2 + 8x- 12](/tpl/images/0446/9729/44aab.png)
To find : Which statements are true about the polynomial? Check all that apply.
Solution :
First we find the factor of the given polynomial.
Now, We check one by one.
1) The terms
have a common factor.
Yes, it is true they have common factor i.e, 4x.
2) The terms
have a common factor.
Yes, it is true they have common factor i.e,
.
3) The polynomial is prime.
No, It is not prime, and the factored polynomial is 4(2x-3)
4) The factored polynomial is
.
No, It is not correct. As factored of polynomial is![2(x^2+2)(2x-3)](/tpl/images/0446/9729/30f3f.png)
5) The polynomial can be grouped in different ways to factor by grouping.
Yes, it is true.
Therefore, Option 1,2 and 5 are true.