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

Triangles, CM and RN are resp. the medians of triangle ABC and Triangle PQR...

CM and RN are resp. the medians of triangle ABC and Triangle PQR.if triangle ABC similar to Triangle PQR TRIANGLE AMC SIMILAR TO PNR

Calculate the throughput and link utilization, 4. Two hosts, one on East (h...

4. Two hosts, one on East (host A) and one on the west coast (host B) of the USA are exchanging data. Suppose A is sending a large file to B. The file is split into packets of size

Multiply, 37x7= multiply answer it.

37x7= multiply answer it.

Proof for properties of dot product, Proof for Properties of Dot Product ...

Proof for Properties of Dot Product Proof of u → • (v → + w → ) = u → • v → + u → • w → We'll begin with the three vectors, u → = (u 1 , u 2 , ...

Rebecca is 12.5% taller than debbie how tall is rebecca, Rebecca is 12.5% t...

Rebecca is 12.5% taller than Debbie. Debbie is 64 inches tall. How tall is Rebecca? Because Rebecca is 12.5% taller than Debbie, she is 112.5% of Debbie's height (100% + 12.5%

Help, how do I round a # and decimal

how do I round a # and decimal

External division of section formula, give me the derivation of external di...

give me the derivation of external division of sectional formula using vectors

MATLAB, Program of "surface of revolution" in MATLAB

Program of "surface of revolution" in MATLAB

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