4w + 12  zw  3z
this one you can factor by grouping.
4w + 12  (zw + 3z) = 4(w + 3)  z(w + 3) = (4  z)(w + 3)
9r + 24t
what is the Greatest Common Factor (GCF) of 9 and 24
answer: 3(3r + 8t)
2p(p is cubed) + 8p(p is squared)  10p
factor p and 2 first since each term has a p and a 2 in common
so you should have: 2p(p^2 + 4p  5)
Afterward, factor the second expression
answer: 2p(p  1)(p + 5)
t(squared)  100
this is an expression of Difference of Square
answer: (t  10)(t + 10)
b(cubed)  27
this is an expression of Difference of Cube
answer: (b  3)(b^2 + 3b + 9)
Solve:
z(squared) + 11z + 24 = 0
find two factors of 24 that when you add them together you get 11
24 has factors of 8 and 3; 8 + 3 is 11
answer: (z + 8)(z + 3)=0
z = 8 or z = 3
25x(x is squared) + 4 = 20x
bring 20x to one side so you have the equation equal to zero
25x^2  20x + 4 = 0
(5x  2)(5x  2) = 0
x = 2/5
Hope that helps!
Best regard
