Getal & Ruimte (13e editie) - 3 havo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(a^{2} + 4 a\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^{2} + 4 a = a (a + 4)\) 1p 1p b \(3 p^{2} - 4 p\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(3 p^{2} - 4 p = p (3 p - 4)\) 1p 1p c \(12 a b + 32 a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(12 a b + 32 a = 4 a (3 b + 8)\) 1p 1p d \(10 x y + 25 x z\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(10 x y + 25 x z = 5 x (2 y + 5 z)\) 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 \(40 a^{3} - 45 a^{4}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(40 a^{3} - 45 a^{4} = 5 a^{3} (8 - 9 a)\) 1p |
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| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 14 x + 48\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 14 x + 48 = (x + 6) (x + 8)\) 1p 1p b \(p^{2} - 3 p - 18\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(p^{2} - 3 p - 18 = (p + 3) (p - 6)\) 1p 1p c \(a^{2} - 7 a + 6\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^{2} - 7 a + 6 = (a - 1) (a - 6)\) 1p 1p d \(x^{2} - 16 x + 64\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^{2} - 16 x + 64 = (x - 8) (x - 8)\) 1p |