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Completely factor the following polynomials. 1. x 2 + 5 x + 6 = ( x + 2)( x + 3) 2. 3 x 2 − x − 2 = (3 x + 2)( x − 1) 3. x 2 − 100 = ( x + 10)( x − 10) 4. 36 x 2 − 49 = (6 x + 7)(6 x − 7) 5. x 2 + 2 x + 1 = ( x + 1) 2 6. 5 x 2 − 5 x − 30 = 5( x + 2)( x − 3) 7. x 3 − 4 x = x ( x + 2)( x − 2) 8. 3 x 3 − 3 x = 3 x( x + 1)( x − 1) 9. x 3 + 2 x 2 − 4 x − 8 = ( x + 2) 2 ( x − 2) 10. 20 y 4 − 45 y 2 = 5 y 2 (2 y + 3)(2 y − 3)