which of the following is a facftor of both x^2 -x-6 and x^2= 5x+6

- anonymous

which of the following is a facftor of both x^2 -x-6 and x^2= 5x+6

- schrodinger

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- mathstudent55

\(x^2 -x-6\) First equation
\(x^2= 5x+6\)
\(x^2- 5x-6 = 0\) Second equation

- mathstudent55

The first equation can be factored in the form it's given.
To factor the second equation, we need it in the form shown in the second line above.

- mathstudent55

Do you know how to factor those trinomials?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

substracting one line?

- anonymous

by -1

- mathstudent55

No. I'll show you.

- mathstudent55

Here is an example.

- anonymous

Ok thanks

- mathstudent55

|dw:1444524163180:dw|

- mathstudent55

This is a trinomial in which the x^2 term is just x^2. We don't have a number multiplying the x^2.

- mathstudent55

|dw:1444524269218:dw|

- mathstudent55

You need to find 2 numbers that multiply to -2 and add to -1.

- anonymous

\[\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\] Ax^2+Bx + C

- mathstudent55

What are two numbers that multiply to -2?
There are two possibilities:
-2 and 1
-1 and 2
Notice that both -2 * 1 = -2
and -1 * 2 = -2

- mathstudent55

We also need that the two numbers add to -1.
-2 + 1 = -1
-1 + 2 = 1
The first line above, -2 and 1 does add to -1.
The second line above does not.
That means the two numbers we need are -2 and 1

- mathstudent55

We set up the factors like this below:
|dw:1444524436826:dw|

- mathstudent55

Now all we do is place the two numbers we found like this below:
|dw:1444524489908:dw|

- mathstudent55

That is how a trinomial of the type
\(x^2 + ax + b\) is factored

- anonymous

what I wrote is the quadratic formula using your 2 equations x^2 -x-6 and x^2= 5x+6
you can see that for x^2 -x-6 = A = 1 B=-1 C =-6
and for x^2-5x-6 A = 1 B = -5 and C = -6

- anonymous

thanks I get it :)

- mathstudent55

Now let's look at the two trinomials you have.
\(x^2 -x-6\) First trinomial
\(x^2- 5x-6\) Second trinomial

- anonymous

Ok thanks @mathstudent55 youre cool :)

- mathstudent55

Since both of these trinomials have a plain x^2 term (with a coefficient of 1), we can factor them easily.
We set them up like this:
|dw:1444524646962:dw|

- mathstudent55

|dw:1444524732670:dw|

- mathstudent55

|dw:1444524792102:dw|

- anonymous

-3 x 2 for the first one and -3 x -2 for second

- mathstudent55

You are correct for the first one.
The second has a mistake.
When you wrote the original post, I think you wrote an = when you meant to write a +.
Is that correct?

- mathstudent55

Should the second trinomial be
x^2 + 5x + 6 ?
Your equal sign instead of the first plus sign is a typo?

- anonymous

@mathstudent55 is right, if you didn't make a typo something is off.

- mathstudent55

|dw:1444525027158:dw|

- mathstudent55

|dw:1444525062059:dw|

- mathstudent55

Which factor is in common?
|dw:1444525083439:dw|