By Joannes (Abbot of Fécamp), Robert Beulay

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**Extra resources for La collection des lettres de Jean de Dalyatha: édition critique du texte syriaque inédit, traduction française, introduction et notes, Volume 39, Part 3, Issue 180**

**Example text**

60. (4x2 + 3x + 2) + (3x2 - 2x - 5) (2x2 + 3x + 8) (5 - 2x + 2x2) 4xy2 + 2xy + 2x + 3 - ( - 2xy2 + xy - y + 2) (2s2t3 - st2 + st - s + t) - (Js2t2 - 2s2t - 4st2 - t + 3) 3xy2z - 4x2yz + xy + 3 - (2xy2z + x2yz - yz + x - 2) a2bc + ab2c + 2ab3 - 3a2bc - 4ab3 + 3 49. (2 - x) (2x3 + x 2) (x + 1) (x2 + 2x - 3) 5 1 . ( - 3s + 2) ( - 2s2 - s + 3) (2s - 3) (s3 - s + 2) (x2 + 3) (2x2 - x + 2) 53 . (2y2 + y) (-2y3 + y - 3) 55. (a2 - 4a + 3) (4a3 + 2a + 5) (x2 + 2x - 1) (2x2 - 3x + 2) (2a2 + ab + b2) (3a - b2 + I) 57.

6. - 14 is not an integer. In Exercises 8-1 1, identify the property of the real number system thatjustifies the statement. All variable s represent real numbers. 9. (3 + 4)x = 3x + 4x 8. (3a) + (-3a) = O IO. 2x + 2y + 2x + + 2y 1 1 . 9x I = 9x In Exercises 12-14, sketch the given set of numbers on a real number line. 12. The negative real numbers. 1 3 . The real numbers x such that x > 4. 14. The real numbers x such that - I x < I. 1 5 . Find the value of l -31 - I I - 5j. 16. Find PQ if the coordinates of P and Q are 6 and 9/2, respectively.

4x2 + 20x - 5 26. 2a2 + 3ab 6a 9b 29. 6x4 7x2 - 3 28. x8 - I In Exercises e z = an = · z s; + + + PROGRESS TEST l A 30--33, perform the indicated operations and simplify . 4 - x2 + 3Y x-2 14{):'. - l} 9{x + y) 31. 2T 30. 3(x2 - y2) -7xy2 - 2x- - 3 x2 - 4x + 3 33. x22x2 32. D. 3 2 34 . - 1 35. �4 x2 5- (x -3 - 1)2 2x2 ' 4x2 - 4 ' x - 2 -4 x+2 37. x2(yy -+l 1) ' 2xyx -- 22x ' 4y2 +3xSy + 4 36. (x -2 l )y ' 7 5(x - 1)2 In Exercises 38-41, perform the indicated operations and simplify . 2 4 39 x2 -3 16 - 38 .