Example of factor by grouping, Mathematics

Assignment Help:

Factor by grouping each of the following.

3x2 - 2x + 12x - 8

Solution

          3x2 - 2x + 12x - 8

In this case we collect the first two terms & the final two terms as illustrated here,

                          (3x2  - 2x ) + (12 x - 8)

Notice that we can factor an x out of the first grouping & a 4 out of the second grouping. Doing this gives,

3x2 - 2x + 12x - 8=x (3x - 2) + 4 (3x - 2)

Now we can see that we can factor out a common factor of 3x - 2 thus let's do that to the final factored form.

3x2 - 2x + 12x - 8 = (3x - 2) ( x + 4)

And we're done. That's all that there is to factoring through grouping.  Note down again that it will not always work & sometimes the single way to know if it will work or not is to attempt it and see what you get.


Related Discussions:- Example of factor by grouping

Concepts, what are core concepts of marketing?

what are core concepts of marketing?

Perimeter and Area, A farmer has a rectangular field of length 100m and bre...

A farmer has a rectangular field of length 100m and breadth 70m. He leaves a path of 1m all along the boundary inside it. He decides to apply a manure to the remaining part of the

Example of multiplication of complex numbers, Multiply following and write ...

Multiply following and write the answers in standard form.  (a) 7 i ( -5 + 2 i )  (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu

Construction, draw a line OX=10CM and construct an angle xoy = 60. (b)bisec...

draw a line OX=10CM and construct an angle xoy = 60. (b)bisect the angle xoy and mark a point A on the bisector so that OA = 7cm

Linear equation, The sum of the digit number is 7. If the digits are revers...

The sum of the digit number is 7. If the digits are reversed , the number formed is less than the original number. find the number

One is then added to in which result what is final answer, Ten is decreased...

Ten is decreased through four times the quantity of eight minus three. One is then added to in which result. What is the final answer? The area of a square whose side measures

Graphing linear equtions, Determine whether each equation is a linear equat...

Determine whether each equation is a linear equation. If yes, write the equation in standard form. y=2x+5

Percents, write as a percent 6/10

write as a percent 6/10

Precalc, I dont understand arcsin and arccos and how to find the domain...h...

I dont understand arcsin and arccos and how to find the domain...help?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd