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

Statistics and probability, STATISTICS AND PROBABILITY : Statistics  ar...

STATISTICS AND PROBABILITY : Statistics  are the  only  tools  by  which  an  opening  can  be  cut  through  the formidable  thicket  of difficulties  that bars the  path  of

Matrices, how solve the inverse matrices using the matlab?

how solve the inverse matrices using the matlab?

Variance-measure of central tendency, Variance Square of the standard...

Variance Square of the standard deviation is termed as variance. The semi inter-quartile range - It is a measure of dispersion which includes the use of quartile. A q

Errors are useful in learning maths, Errors Are Useful :  While teaching c...

Errors Are Useful :  While teaching children, you must have found theft making mistakes off and on. How do you respond to the errors'? What do they tell you about the child-failur

Unit rates with fractions, a math problem that involves the numbers $112 fo...

a math problem that involves the numbers $112 for 8 hours

Daily revenue for next 30 days, Owner of a computer repair shop has daily r...

Owner of a computer repair shop has daily revenue with mean $7200 and SD $1200 Daily revenue for next 30 days will be monitored. What is probability that daily revenue for those 30

Triple integral transformed, An elliptical galaxy has gravitational boundar...

An elliptical galaxy has gravitational boundaries defiend by 9x 2 +16y 2 +144z 2 =144. A black hole at the center of the galaxy is interacting with dark matter producing a radiatio

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Limits at infinity part ii, Limits At Infinity, Part II :  In this sectio...

Limits At Infinity, Part II :  In this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity.  The functions we'll be di

Examples on log rules, Examples on Log rules: Example:      Calculate...

Examples on Log rules: Example:      Calculate (1/3)log 10   2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.

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