1. a)
2x + (-3)
_______________
x | 2x² | -3x |
+ _______________
1 | 2x | -3 |
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(2x - 3) (x + 1) = 2x² - 3x + 2x - 3 = 2x² - x - 3
b)
x + 2
____________
x | x² | 2x |
____________
3 | 3x | 6 |
-----------------------
(x + 2) (x + 3) = x² + 2x + 3x + 6 = x² + 5x + 6