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# Alg1 lesson 9-2

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### Alg1 lesson 9-2

1. 1. DistributiveProperty<br />4(x + 3) = 4x + 12<br />Factoring<br />4x + 12 = 4(x + 3) <br />GCF of 4x and 12<br />
2. 2. Factor<br />GCF of 10y and 25<br />10y = 2 · 5 · y<br /> 25 = 5 · 5<br />GCF = 5<br />Factor 10y – 25<br /> = 5(2y – 5) <br />GCF:<br />Example 2-1a<br />
3. 3. 3x2y = 3·x·x·y<br />12xy2 = 2·2·3·x·y·y <br />Factor<br />= 3xy (x + 4y)<br />GCF: 3xy<br />
4. 4. Factor<br />GCF:<br />Example 2-1a<br />
5. 5. ( 7 )( 0 ) = 0<br />( 51 )( 0 )= 0<br />( 0 )( 31 ) = 0<br />( 79 )( 0 ) = 0<br />( 42 )( 0 ) = 0<br />( 0 )( 0 ) = 0<br />
6. 6. Solve: (x + 1)(x – 2) = 0<br /> x + 1 = 0 or x – 2 = 0 - 1 - 1 + 2 +2<br /> x = -1 or x = 2<br />Check 2:<br />(x + 1)(x – 2) = 0<br />(2 + 1)(2 – 2) = 0<br />(3)(0) = 0 <br />Check -1:<br />(x + 1)(x – 2) = 0<br />(-1 + 1)(-1 – 2) = 0<br />(0)(-3) = 0 <br />
7. 7. Solve: (x + 3)(x – 5) = 0<br /> x + 3 = 0 or x – 5 = 0 - 3 - 3 + 5 +5<br /> x = -3 or x = 5<br />
8. 8. Solve <br />or<br />+2 +2<br />+1 +1<br />4 4<br />Example 2-4a<br />
9. 9. Solve: x2 – 4x = 12<br /> x2 – 4x – 12 = 0<br />-12 -12<br />Solve: (x + 2)(x – 6) = 0<br /> x + 2 = 0 or x – 6 = 0 - 2 - 2 + 6 +6<br /> x = -2 or x = 6<br />
10. 10. Solve<br />-12y2 -12y2<br />or<br />4 4<br />-1 -1<br />-3y = -1<br />-3 -3<br />