Getal & Ruimte (13e editie) - 3 havo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(a^{2} + 2 a\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^{2} + 2 a = a (a + 2)\) 1p 1p b \(3 p^{2} - 5 p\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(3 p^{2} - 5 p = p (3 p - 5)\) 1p 1p c \(35 x y + 40 x\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(35 x y + 40 x = 5 x (7 y + 8)\) 1p 1p d \(25 x y + 30 x z\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(25 x y + 30 x z = 5 x (5 y + 6 z)\) 1p opgave 2Ontbind in factoren. 1p a \(8 a b c + 36 a b\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(8 a b c + 36 a b = 4 a b (2 c + 9)\) 1p 1p b \(40 a^{2} - 45 a^{4}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(40 a^{2} - 45 a^{4} = 5 a^{2} (8 - 9 a^{2})\) 1p |
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| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 8 x + 15\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 8 x + 15 = (x + 5) (x + 3)\) 1p 1p b \(a^{2} - 3 a - 10\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^{2} - 3 a - 10 = (a - 5) (a + 2)\) 1p 1p c \(x^{2} - 10 x + 16\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^{2} - 10 x + 16 = (x - 2) (x - 8)\) 1p 1p d \(a^{2} + 2 a + 1\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(a^{2} + 2 a + 1 = (a + 1) (a + 1)\) 1p |