# Question #3772b

##### 2 Answers

three roots are given by factors:

#### Explanation:

Given

Given also that

To find out

We know, if

First equation is

or

Similarly second equation is

or

Inserting the value of

or

and from (1) we get the value of

First dividing

To factorize this quadratic we see that the middle term

[or we can use long division once more to find the new quotient after dividing the quadratic with

Rewriting the quadratic

or

or

Which gives us the third factor as

Whilst I have done my best not to have a slip you should check my answer.

#### Explanation:

Given:

Write as

First consider the final constant of -6 from the LHS

Comparing LHS to RHS

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Multiplying out we have:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Collecting like terms

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Factors are: