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

Permatuation and combination problem, 4 boys and 4 girls are to seated in a...

4 boys and 4 girls are to seated in arow i)no. of girls sit together ii)not all girls sit together iii)boys and girls are altenate to each other iv)if a particular boy and g

Complex numbers, find the modulus Z=(2-i)(5+i12)/(1+i2)^3

find the modulus Z=(2-i)(5+i12)/(1+i2)^3

The cost of renting a bike at the local bike is y = 2x + 2, The cost of re...

The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi

How many miles did she average per day, Katie ran 11.1 miles over the last ...

Katie ran 11.1 miles over the last three days. How many miles did she average per day? To ?nd out the average number of miles, you should divide the total number of miles throu

Trigonometric approximation grid, With a compass draw the arc associated wi...

With a compass draw the arc associated with a 720° angle, it looks like a circle. With a protractor, label the angle in multiples of 45° and 30° up to 720°.  Notice 30° and 390° ar

Numerical analysis and computer techniques, write a fortan programme to gen...

write a fortan programme to generate prime number between 1 to 100

Arithmetic/Geometric Sequences and Binomial Expansion, Find the 35th term o...

Find the 35th term of the sequence in which a1 = -10 and the common difference is 4.

I am mathematics expert, i want some assignment for earning i am mathemati...

i want some assignment for earning i am mathematics expert plz provide us mathematics assignment as soon as possible

Evaluate limit in l''hospital''s rule form, Evaluate the below given limit....

Evaluate the below given limit. Solution Note as well that we actually do have to do the right-hand limit here. We know that the natural logarithm is just described fo

Calculate the area of circle, Calculate the area of CIRCLE ? A circle i...

Calculate the area of CIRCLE ? A circle is a set of all points that are at a given distance from a center point. The diameter (d) of a circle is the length of a line that goes

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