That cannot be factored
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
Not factorable
x + 4
x2 - 2 + 4 = x2 + 2This term can not be factored any further
x2 + 6x + 8 = (x + 4)(x + 2)
(x-1)(x+4)
x^(2) + 13x + 36 Factors to ( x + 9)(x + 4) When learning factoring. ;- #1 ; If the coefficient of x^(2) is '1' , as in this case. Then #2 ; Write down all the factors of 36, which are ,1,36 ' 2,18 ' 3,12 ' 4,9 ' 6,6 ; #3 ; Out of these pairs of factors, select a pair that add/subtract to '13'. #5, They are 4,9 ; 4 + 9 = 13 #6 ; Since the quadratic eq;m has positive (+) signs , then all the signs in the brackets are positive(+). When the coefficient of x^(2) is > 1, and/or the signs are different , then different techniques come into play.
x2-5x+4 = (x-1)(x-4) when factored
(x + 4)(x + 8)
(x + 4)(x + 13)
(x + 4)(x + 9)
Factor it out: (x+2) squared