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

Square numbers, determine the square of the following numbers ... a.8 b.13 ...

determine the square of the following numbers ... a.8 b.13 c.17 and d.80

Divide by 1-digit numbers, which experession can be used to check the quoti...

which experession can be used to check the quotient 646 divided by 3

Solution of triangles, In triangle ABC, if sinA/csinB+sinB/c+sinC/b=c/ab+b...

In triangle ABC, if sinA/csinB+sinB/c+sinC/b=c/ab+b/ac+a/bc then find the value of angle A.

Unit vector and zero vectors, Unit Vector and Zero Vectors Unit Vec...

Unit Vector and Zero Vectors Unit Vector Any vector along with magnitude of 1, that is || u → || = 1, is called a unit vector. Zero Vectors The vector w → = (

Divergence test - sequences and series, Divergence Test Once again...

Divergence Test Once again, do NOT misuse this test.  This test only says that a series is definite to diverge if the series terms do not go to zero in the limit.  If the

Modeling with first order differential equations, We here move to one of th...

We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a

GEOMETRIC PROGRESSION, THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPE...

THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPECTIVELY AND THE COMMON RATIO IS POSITIVE.FIND THE COMMON RATIO

Scalar multiplication - vector arithmetic, Scalar Multiplication - Vector a...

Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any

Basic operations on fractions, A simple example of fraction would be ...

A simple example of fraction would be a rational number of the form p/q, where q ≠ 0. In fractions also we come across different types of them. The two fractions

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