Home
::
About Us
::
Tutor in Your Home
::
Tutoring Center
::
SUMMER CAMP
::
Advertise With Us
::
College Counseling
::
Contact Us
Math is Fun
This site is an online mathematics and science school
where you can study without leaving your home (online education).
"
Do not worry about your difficulties in mathematics, I assure you that mine are greater
". Einstein, Albert (1879-1955)
Login
::
Sign Up - FREE
::
Refer a Friend
Study Guide
School of Logical Thinking
Tests Examples - Demo
Elementary Mathematics
High School Placement
Placement College Test
ACT
SAT
Flash Games
ACT
ACT Assessment
Test Description
English Test
Mathematics Test
Reading Test
Science Test
Writing Test
SAT
Early Mathematics
Study Guide
Arithmetic
Algebra
Geometry
Trigonometry
Factoring of polynomials
In general case factoring of a polynomial is not always possible. But there are some cases, when it can be executed.
1. If all terms of a polynomial contain as a factor the same expression, it is possible to take it out of brackets (see above).
2. Sometimes grouping terms of a polynomial into brackets, one can find a common expression inside the brackets, the expression may be taken out of the brackets as a common factor, and after this the same expression will be inside all brackets Then this expression must also be taken out of the brackets and the polynomial will be factored.
Example:
ax + bx + ay+ by = ( ax+ bx ) + ( ay + by ) =
= x ( a + b ) + y ( a + b ) = ( x + y ) ( a + b ) .
3. Sometimes including of new, mutually cancelled terms, helps to factor a polynomial.
Example:
y
^{2}
– b
^{2}
= y
^{2}
+ yb – yb – b
^{2}
= ( y
^{2}
+ yb ) – ( yb + b
^{2}
) =
= y ( y + b ) – b ( y + b ) = ( y + b ) ( y – b ) .
4. Usage of the formulas of abridged multiplication.
Return Back
View My Stats
Privacy Statement
© 2006 MathPlusFun, All Rights Reserved