# Algebra 1

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Hello. Can someone check my answers to the following

Factor each of the following

1. a^2 - 9

a^2 - 9 = 0
(a - 3)a + 3)

2. 4a^2 - 4a+1

4a^2 - 4a + 1
= 4a^2 - 2a - 2a + 1
= 2a(2a - 1) - 1(2a - 1)
= (2a - 1)(2a - 1)

3. 72 - 22x + x^2

72 - 22x + x^2
= x^2 - 22x + 72
= x^2 - 18x - 4x + 72
= x (x - 18) - 4 (x - 18)
= (x - 4) (x - 18)

4. Solve by factoring 3x^2 + 5x - 2 =0

3x^2+5x-2=0
=3x^2+6x-x-2
=3x(x-2)-(x+2)
=(3x-1)(x+2)

Oh, the x^2 is squared.

• Algebra 1 -

1. correct
2. correct
3. correct but could go from 2nd line to last
4. correct

You know you can check these by foiling, right? (when you multiply out your answers and then see if you got what you started with)

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