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

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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)   (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

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