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

Probability, If a school has lockers with 50 numbers on each co...

If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.

Highest common factor (hcf), We know that a factor is a quantity whic...

We know that a factor is a quantity which divides the given quantity without leaving any remainder. Similar to LCM above we can find a highest common factor (HCF)

Example of multiplication of complex numbers, Multiply following and write ...

Multiply following and write the answers in standard form.  (a) 7 i ( -5 + 2 i )  (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu

Complementary addition-word problems related to subtraction, Complementary ...

Complementary addition -what number how many things should be added to one number or group to get the other. (e.g., a classroom can seat 50 children, and 20 children are already s

Geometry, how do we rotate an object 90 counterclockwise?

how do we rotate an object 90 counterclockwise?

Permutation, Permutation - It is an order arrangement of items whether...

Permutation - It is an order arrangement of items whether the order must be strictly observed Illustration Assume x, y and z be any of three items. Arrange these in all

Subspace of r containing n, Give an example of each of the following given ...

Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of

Find the coordinates of the point p, Find the coordinates of the point P wh...

Find the coordinates of the point P which is three -fourth of the way from A (3, 1) to B (-2, 5).

Express the gcd as a linear combination, Express the GCD of 48 and 18 as a ...

Express the GCD of 48 and 18 as a linear combination.              (Ans: Not unique) A=bq+r, where  o ≤  r 48=18x2+12 18=12x1+6 12=6x2+0 ∴ HCF (18,48) = 6 now  6

Substitution, When I complete each of the three methods, should I get the s...

When I complete each of the three methods, should I get the same x and y values?

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