SOLUTION: Could you help please? I don't understand this. "Factor each of the following into two trinomials" 1. x^2-3x+2 2. x^2+4x-32 3. x^2+6x+9 4. x^2+x-12 5. x^2-9x+14 Than

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Question 751211: Could you help please? I don't understand this.
"Factor each of the following into two trinomials"
1. x^2-3x+2
2. x^2+4x-32
3. x^2+6x+9
4. x^2+x-12
5. x^2-9x+14
Thank you so much for the help!
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started. In the future, please only post one problem at a time. Thanks.

# 1
x^2-3x+2

x^2-x-2x+2 ... Note: -1 and -2 add to -3 and multiply to 2

(x^2-x)+(-2x+2)

x(x-1)+(-2x+2)

x(x-1)-2(x-1)

(x-2)(x-1)

---------------

x^2-3x+2

completely factors to

(x-2)(x-1)
=======================================================

# 2

x^2+4x-32

x^2+8x-4x-32 ... Note: 8 and -4 add to 4 and multiply to -32

(x^2+8x)+(-4x-32)

x(x+8)+(-4x-32)

x(x+8)-4(x+8)

(x-4)(x+8)

----------------

x^2+4x-32

completely factors to

(x-4)(x+8)