SOLUTION: I have 3 problems I don't understand and I must show my work and methods used in each problem. 1. 8x²-22x+5 2. 12m²n²-8mn+1 3. W³-3w²-18w. Problem 1 I must use the 'ac' method. I

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I have 3 problems I don't understand and I must show my work and methods used in each problem. 1. 8x²-22x+5 2. 12m²n²-8mn+1 3. W³-3w²-18w. Problem 1 I must use the 'ac' method. I      Log On


   



Question 859875: I have 3 problems I don't understand and I must show my work and methods used in each problem. 1. 8x²-22x+5 2. 12m²n²-8mn+1 3. W³-3w²-18w. Problem 1 I must use the 'ac' method. I must use the words below to explain my work (do not just write definition of the word)
Factor
GCF
Prime factors
Perfect square
Grouping

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1. 8x²-22x+5
Factor
Grouping
we will factor by grouping
we want factors of 8*5 which add up to -22
-20 and -2
8x²-22x+5
now we will group
8x^2-2x-20x+5
now find the greatest common factor (GCF )
2x(4x-1)-5(4x-1)
group
(2x-5)*(4x-1)
which FOILS back to
8x²-22x+5
2. 12m²n²-8mn+1
faxtors of 12 which add up to -8
(2mn-1) (6mn-1)
3. w³-3w²-18w
we want factors of -18 which add up to -3
-6 and +3
(w-6)*(w+3)
Factor
GCF
Prime factors
Perfect square
Grouping