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# Factoring practice

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### Factoring practice

1. 1. <ul><li>Factoring </li></ul><ul><li>Polynomials </li></ul>
2. 2. x 2 + 5 x – 24 <ul><li>( x + 8 )( x – 3) </li></ul>
3. 3. x 2 – 16 x + 64 <ul><li>( x – 8 ) 2 </li></ul>
4. 4. x 2 – 144 <ul><li>( x + 12 )( x – 12 ) </li></ul>
5. 5. x 3 – 343 <ul><li>( x – 7)( x 2 + 7 x + 49) </li></ul>
6. 6. 2 x 3 + 8 x 2 – 3 x – 12 <ul><li>(2 x 3 + 8 x 2 ) + (– 3 x – 12) </li></ul><ul><li>2 x 2 ( x + 4 ) – 3 ( x + 4 ) </li></ul><ul><li>(2 x 2 – 3 ) ( x + 4 ) </li></ul>
7. 7. 4 x 2 + 4 x – 3 <ul><li>(4 x 2 + 6 x ) + ( – 2 x – 3) </li></ul><ul><li>2 x ( 2 x + 3 ) – 1 ( 2 x + 3 ) </li></ul><ul><li>(2 x – 1 ) ( 2 x + 3 ) </li></ul>
8. 8. 16 x 2 – 81 <ul><li>( 4 x + 9)( 4 x – 9) </li></ul>
9. 9. 9 x 2 + 30 x + 25 <ul><li>(9 x 2 + 15 x ) + ( 15 x + 25) </li></ul><ul><li>3 x ( 3 x + 5 ) + 5 ( 3 x + 5 ) </li></ul><ul><li>(3 x + 5 ) ( 3 x + 5 ) </li></ul><ul><li>(3 x + 5 ) 2 </li></ul>
10. 10. 8 x 3 + 27 <ul><li>(2 x + 3)(4 x 2 – 6 x + 9) </li></ul>
11. 11. 5 x 2 – 13 x + 6 <ul><li>(5 x 2 – 10 x ) + ( – 3 x + 6) </li></ul><ul><li>5 x ( x – 2) – 3 ( x – 2) </li></ul><ul><li>(5 x – 3) ( x – 2) </li></ul>
12. 12. 3 x 3 – 6 x 2 – 144 x <ul><li>3 x ( x 2 – 2 x – 48) </li></ul><ul><li>3 x ( x – 8)( x + 6 ) </li></ul>
13. 13. 2 x 4 – 72 x 2 <ul><li>2 x 2 ( x 2 – 36) </li></ul><ul><li>2 x 2 ( x + 6)( x – 6) </li></ul>
14. 14. 8 x 3 – 12 x 2 – 80 x <ul><li>4 x ( 2 x 2 – 3 x – 20) </li></ul><ul><li>4 x [ (2 x 2 – 8 x ) + ( 5 x – 20) ] </li></ul><ul><li>4 x [ 2 x ( x – 4) + 5 ( x – 4) ] </li></ul><ul><li>4 x (2 x + 5)( x – 4) </li></ul>
15. 15. x 3 + 3 x 2 – 4 x – 12 <ul><li>( x 3 + 3 x 2 ) + (– 4 x – 12) </li></ul><ul><li>x 2 ( x + 3 ) – 4 ( x + 3 ) </li></ul><ul><li>( x 2 – 4 ) ( x + 3 ) </li></ul><ul><li>( x + 2)( x – 2) ( x + 3) </li></ul>