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

Determine the angle between dec, Using the example provided below, if the m...

Using the example provided below, if the measure ∠AEB = 5x + 40 and ∠BEC = x + 20, determine m∠DEC. a. 40° b. 25° c. 140° d. 65° c. The addition of the measurem

Classification-developing pre-number concepts, Classification :  As you kn...

Classification :  As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c

Life mathametics, 20% of the total quantity of oil is 40 litres find the to...

20% of the total quantity of oil is 40 litres find the total quantity of oil in litres

Find the height of the lighthouse, Two  ships  are  sailing  in  the  sea  ...

Two  ships  are  sailing  in  the  sea  on  either  side  of  a  lighthouse;  the  angles  of depression of two ships as observed from the top of the lighthouse are 600  and 450 re

Find the median, Marks obtained by 70 students are given below: ...

Marks obtained by 70 students are given below: M arks 20 70 50 60 75 90 40 No.

Find out the center of mass, Find out the center of mass for the region bou...

Find out the center of mass for the region bounded by y = 2sin (2x), y =0 on  the interval  [0 , Π/2] Solution Here is a sketch (diagram) of the region along with the cent

Derive a boolean first-order query, Consider a database whose universe is a...

Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Ea

Subtract, Ask question Minimum 100 words accepted# 1000-101

Ask question Minimum 100 words accepted# 1000-101

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