Four special factorizations occur so often that they arelisted here for future reference.} }
x - y = (x+y)(x-y) Difference of two squares
x + 2xy + y
x - y = (x-y)(x
x + y = (x+y)(x
A polynomial that cannot be factored is called a primepolynomial.
Factor each of the following.
(b) x + 36 is a prime polynomial.
(c) x + 12x +36 = (x +6)
(d) 9y-24yz + 16z
(e) y - 8 = (y-2)(y
(f ) m +125 = m
In factoring, always look for a common factor first. Since 36x
36x - 4y = 4(9x
It would be incomplete to factor it as
36x - 4y = (6x + 2y)(6x - 2y)
since each factor can be factored still further. To factormeans to factor completely, so that each polynomial factor isprime.