Getal & Ruimte (13e editie) - 3 havo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(a^{2} + 5 a\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^{2} + 5 a = a (a + 5)\) 1p 1p b \(25 a^{2} - 40 a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(25 a^{2} - 40 a = 5 a (5 a - 8)\) 1p 1p c \(6 p q + 14 p\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(6 p q + 14 p = 2 p (3 q + 7)\) 1p 1p d \(15 x y + 25 x z\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(15 x y + 25 x z = 5 x (3 y + 5 z)\) 1p opgave 2Ontbind in factoren. 1p a \(10 x y z + 18 x y\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(10 x y z + 18 x y = 2 x y (5 z + 9)\) 1p 1p b \(8 p^{5} - 12 p^{3}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(8 p^{5} - 12 p^{3} = 4 p^{3} (2 p^{2} - 3)\) 1p |
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| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^{2} + 6 a + 5\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^{2} + 6 a + 5 = (a + 5) (a + 1)\) 1p 1p b \(a^{2} + 2 a - 3\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^{2} + 2 a - 3 = (a - 1) (a + 3)\) 1p 1p c \(x^{2} - 11 x + 30\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^{2} - 11 x + 30 = (x - 6) (x - 5)\) 1p 1p d \(p^{2} + 6 p + 9\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(p^{2} + 6 p + 9 = (p + 3) (p + 3)\) 1p |