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

Jordan needs help, carlie is now fivetimes as old as henry. in nine years ...

carlie is now fivetimes as old as henry. in nine years her age will be twice henry''s age then. how old is carly now

Maths, f all the permutations of the letters of the word chalk are written ...

f all the permutations of the letters of the word chalk are written in a dictionary the rank of this word will be?

Find the volume of water left in the cylindrical tub, A solid is in the for...

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindr

What was the total cost of her order, Leslie ordered a slice of pizza for $...

Leslie ordered a slice of pizza for $1.95, a salad for $2.25, and a soda for $1.05. What was the total cost of her order? The cost of every item must be added together; $1.95 +

Discovery, i have discovered a formula for finding the radius at any point ...

i have discovered a formula for finding the radius at any point of the graph have i done a good job

Solid geometry, what is solid geometry and uses of solid geometry

what is solid geometry and uses of solid geometry

Solve the subsequent proportion, Solve the subsequent proportion: Exa...

Solve the subsequent proportion: Example: Solve the subsequent proportion for x. Solution: 5:x = 4:15 The product of the extremes is (5)(15) = 75. The produ

Find the height of the tower, The angle of elevation of the top of a tower ...

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α .After walking a distance d towards the foot of the tower the angle of elevation is

Function, definition and examples and types

definition and examples and types

ALgebra, Please quote me a price

Please quote me a price

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