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Algebra
10.5 Notes (day 3)
Name:____________________________________
Mitchell
10.5: Solving by Factoring
o Remember: In order to SOLVE BY FACTORING, you need to…
to…
1) Get everything to one side of the equation in standard form.
form. ( x 2 + bx + c = 0 )
2) Factor the trinomial into two binomials. ( (x + m)(x + n) = 0 )
3) Set each factor equal to zero and solve. ( x + m = 0 and x + n = 0 )
o Solve each of the following equations by factoring.
1)
x 2 − 12 = 4x
2)
x 2 − 5x = −6
3)
3x 2 + 3x − 54 = 2x 2
4)
2x 2 − 12x + 64 = x 2 + 4x
5)
4x 2 − 6x − 8 = 3x 2 − x + 6
6)
(2x 2 + 3x + 8) + ( − x 2 + 5x − 10) = 0
7)
(5x 2 + 35 − 3x) − (4x 2 − 13x + 10) = 0
8)
(5x + 3x 2 − 2) − (2x 2 + 2x + 2) = 0
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