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Ontbinden in factoren Som, product methode

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Presentatie over: "Ontbinden in factoren Som, product methode"— Transcript van de presentatie:

1 Ontbinden in factoren Som, product methode

2 (x + 6)(x + 7) x2 + 13x + 42 = Som, product methode 1 42 2 21 3 14 6 7
de som is +13 en het product is +42 Producttabel : 1 42 2 21 3 14 6 7 Dan is de som : 43 23 17 13

3 Questions 3 Som, product methode (a) x2 + 8x + 12 (b) x2 + 18x + 56
Ontbind in factoren: (a) x2 + 8x + 12 (b) x2 + 18x + 56 (c) x2 + 18x + 72 (d) x2 + 18x + 45 (e) x2 + 18x + 80 (f) (g) (x + 6)(x + 2) (x + 14)(x + 4) (x + 12)(x + 6) (x + 15)(x + 3) (x +10)(x + 8) Questions 3

4 (x - 1)(x - 17) x2 - 18x + 17 = Som, product methode 1 17 -1 -17 18
de som is -18 en het product is +17 Producttabel : 1 17 -1 -17 Dan is de som : 18 -18

5 Questions 3 Som, product methode (a) x2 - 18x + 81 (b) x2 - 14x + 24
Ontbind in factoren: (a) x2 - 18x + 81 (b) x2 - 14x + 24 (c) x2 - 11x + 24 (d) x2 - 10x + 24 (e) x2 - 25x + 24 (f) (g) (x - 9)2 (x - 12)(x - 2) (x - 8)(x - 3) (x - 6)(x - 4) (x - 24)(x - 1) Questions 3

6 (x + 6)(x - 7) x2 - x - 42 = Som, product methode 1 -42 2 -21 3 -14 6
de som is -1 en het product is - 42 Producttabel : Dan is de som : 1 -42 2 -21 3 -14 6 -7 -1 42 -2 21 -3 14 -6 7 -41 -19 -11 -1 41 19 11 1

7 Questions 3 Som, product methode (a) x2 - x - 12 (b) x2 + x - 12
Ontbind in factoren: (a) x2 - x - 12 (b) x2 + x - 12 (c) x2 - 4x - 12 (d) x2 - 11x - 12 (e) x2 + 11x - 12 (f) (g) (x - 4)(x + 3) (x + 4)(x - 3) (x - 6)(x + 2) (x - 12)(x + 1) (x + 12)(x - 1) Questions 3

8 Som, product methode (a) x2 + 10x + 21 (b) x2 - 10x + 25
Ontbind in factoren: (a) x2 + 10x + 21 (b) x2 - 10x + 25 (c) x2 + 2x - 24 (d) x2 - 8x + 16 (e) x2 - 9x -10 (f) x2 + 5x - 6 (g) x2 - 6x + 5 (x + 7)(x + 3) (x - 5)2 (x + 6)(x - 4) (x - 4)2 (x -10)(x + 1) (x - 1)(x + 6) (x - 5)(x - 1)

9 (x + 5)(x - 5) x2 - 25 = Som, product methode 1 -25 -1 25 5 -5 -24 24
de som is 0 en het product is -25 Producttabel : 1 -25 -1 25 5 -5 Dan is de som : -24 24 De bovenstaande uitdrukking is een verschil van twee kwadraten Een som van twee kwadraten kun je niet ontbinden

10 Questions 3 Som, product methode (a) x2 - 16 (b) x2 - 100 (c) x2 + 49
Ontbind in factoren: (a) x2 - 16 (b) x (c) x2 + 49 (d) 4x2 - 49 (e) 81 - x2 (f) (g) (x - 4)(x + 4) (x + 10)(x - 10) Kan niet ontbonden worden (2x - 7)(2x + 7) (9 - x)(9 + x) Questions 3


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