Question

Which of the following is a factor of the polynomial below?

Answer 1

i think c i may be wrong though

Explanation:

Answer 2

For this case we must indicate which of the options given is a factor of the following polynomial:

`4c ^ 3-2c ^ 2-6c`

If we take common factor of the terms we have:

`2c (2c ^ 2-c-3)`

Within the parenthesis we have
`2c ^ 2-c-3`, then:

The term of the medium is rewritten as a sum of two terms, whose multiplication is
`2 * (- 3) = - 6` and the sum is -1. These numbers are:

-3 and 2

`(-3) (2) = - 6\\-3 + 2 = -1`

So;

`2c ^ 2-c-3 =\\2c ^ 2-3c + 2c-3`

Factoring for each group we have:

`c (2c-3) +1 (2c-3)`

This is equivalent to:

`(c + 1) (2c-3)`

Thus,
`2c ^ 2-c-3 = (c + 1) (2c-3)`

Then,
`4c ^ 3-2c ^ 2-6c = 2c ((c + 1) (2c-3))`

Thus, a factor of the polynomial is
`c + 1`

Answer:

Option A