Getal & Ruimte (13e editie) - 3 havo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 3 x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 3 x = x (x + 3)\) 1p 1p b \(15 a^{2} - 35 a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(15 a^{2} - 35 a = 5 a (3 a - 7)\) 1p 1p c \(20 a b + 45 a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(20 a b + 45 a = 5 a (4 b + 9)\) 1p 1p d \(30 p q + 35 p r\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(30 p q + 35 p r = 5 p (6 q + 7 r)\) 1p opgave 2Ontbind in factoren. 1p a \(10 x y z + 35 x y\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(10 x y z + 35 x y = 5 x y (2 z + 7)\) 1p 1p b \(8 p^{3} + 12 p^{2}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(8 p^{3} + 12 p^{2} = 4 p^{2} (2 p + 3)\) 1p |
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| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 9 x + 8\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 9 x + 8 = (x + 1) (x + 8)\) 1p 1p b \(a^{2} + 3 a - 18\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^{2} + 3 a - 18 = (a - 3) (a + 6)\) 1p 1p c \(x^{2} - 16 x + 63\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^{2} - 16 x + 63 = (x - 7) (x - 9)\) 1p 1p d \(p^{2} + 4 p + 4\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(p^{2} + 4 p + 4 = (p + 2) (p + 2)\) 1p |