Getal & Ruimte (13e editie) - 3 havo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(p^{2} + 2 p\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^{2} + 2 p = p (p + 2)\) 1p 1p b \(12 x^{2} + 21 x\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(12 x^{2} + 21 x = 3 x (4 x + 7)\) 1p 1p c \(6 a b + 15 a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(6 a b + 15 a = 3 a (2 b + 5)\) 1p 1p d \(10 a b + 15 a c\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(10 a b + 15 a c = 5 a (2 b + 3 c)\) 1p opgave 2Ontbind in factoren. 1p a \(16 x y z + 28 x y\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(16 x y z + 28 x y = 4 x y (4 z + 7)\) 1p 1p b \(14 p^{3} + 18 p^{4}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(14 p^{3} + 18 p^{4} = 2 p^{3} (7 + 9 p)\) 1p |
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| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 10 x + 21\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 10 x + 21 = (x + 7) (x + 3)\) 1p 1p b \(x^{2} + x - 2\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^{2} + x - 2 = (x + 2) (x - 1)\) 1p 1p c \(a^{2} - 3 a + 2\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^{2} - 3 a + 2 = (a - 2) (a - 1)\) 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 |