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

What is the probability that the card is a queen, Five cards - the ten, jac...

Five cards - the ten, jack, queen, king and ace, are well shuffled with their face downwards. One card is then picked up at random. (i)  What is the probability that the card is

Explain id amortisation is proper impairment will not arise, If depreciatio...

If depreciation/amortisation is done properly, impairment adjustments will not arise.   Required: Do you agree with the above statement? Critically and fully explain your

Math on a spot, compare: 643,251: 633,512: 633,893. The answer is 633,512.

compare: 643,251: 633,512: 633,893. The answer is 633,512.

Determine randomly generated bit string, Assume E is the event that a rando...

Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F indepe

Problems with applying algorithms , PROBLEMS WITH APPLYING ALGORITHMS :  F...

PROBLEMS WITH APPLYING ALGORITHMS :  From your experience, you would agree that children are expected to mechanically apply the algorithms for adding or subtracting numbers, regar

Calculus questions, Show all your work. 80% of your score is for correct ju...

Show all your work. 80% of your score is for correct justified answers; 20% is for correctly and clearly demonstrating why. For the graphing problems, use www.desmos.com/calculator

Describe the sample of exponents , Describe the Sample of Exponents ? I...

Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu

Indices, advantages and disadvantages of paasche and laspeyres indices

advantages and disadvantages of paasche and laspeyres indices

If oa = ob = 14cm, If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded r...

If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded region.  (Ans:21cm 2 ) Ans:    Area of the shaded region = Area of ? AOB - Area of Semi Circle = 1/2  x 14 x

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