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keishah577
25.06.2019 •
Mathematics
Which of the following is a factor of the polynomial below?
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Ответ:
For this case we must indicate which of the options given is a factor of the following polynomial:
If we take common factor of the terms we have:
Within the parenthesis we have
, then:
The term of the medium is rewritten as a sum of two terms, whose multiplication is
and the sum is -1. These numbers are:
-3 and 2
So;
Factoring for each group we have:
This is equivalent to:
Thus,![2c ^ 2-c-3 = (c + 1) (2c-3)](/tpl/images/0015/4797/f11f9.png)
Then,![4c ^ 3-2c ^ 2-6c = 2c ((c + 1) (2c-3))](/tpl/images/0015/4797/49505.png)
Thus, a factor of the polynomial is![c + 1](/tpl/images/0015/4797/83cc8.png)
Option A
Ответ: