We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.
We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.
Affiliations with Schools & Educational institutions are also welcome.
Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit
We will be happy to post videos as per your requirements also. Do write to us.Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors.
|To Factor the form :ax2 + bx + c||Factor : 6x2 + 19x + 10|
|1) Find the product of 1st and last term( a x c).||6 x 10 = 60|
| 2) Find the factors of 60 in such way that
addition or subtraction of that factors is
the middle term (19x)(Splitting of middle term)
| 15 x 4 = 60
and 15 + 4 = 19
|3) Write the center term using the sum of the
two new factors, including the proper signs.
|6x2 + 15x + 4x + 10|
|4) Group the terms to form pairs - the first
terms and the last two terms. Factor each pair by finding common factors.
|3x ( 2x + 5)+ 2(2x + 5)|
|5) Factor out the shared (common) binomial parenthesis.||(3x + 2) ( 2x + 5)|
|Example: Find the factors of 6x2 - 13x + 6
6x2 - 13 x + 6 ----->(1)
a.c = Product of 6 and 6 = 36
Factors of 36 = 2,18
Only the factors 4 and 9 gives 13-->(4 + 9)
For -13 , both the factors have negative sign. – 4 – 9 = - 13
Equation (1) ⇒ 6x 2 - 4x – 9x + 6
⇒2x ( 3x – 2 ) – 3 ( 3x – 2 )
⇒(3x – 2 ) ( 2x – 3) are the factors.
Russia-Ukraine crisis update - 3rd Mar 2022
The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.