Getal & Ruimte (13e editie) - 2 havo/vwo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 5 x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 5 x = x (x + 5)\) 1p 1p b \(12 a^{2} + 14 a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(12 a^{2} + 14 a = 2 a (6 a + 7)\) 1p 1p c \(10 a b + 14 a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(10 a b + 14 a = 2 a (5 b + 7)\) 1p 1p d \(20 x y + 35 x z\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(20 x y + 35 x z = 5 x (4 y + 7 z)\) 1p opgave 2Ontbind in factoren. 1p a \(8 p q r + 20 p q\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(8 p q r + 20 p q = 4 p q (2 r + 5)\) 1p 1p b \(25 x^{5} - 40 x^{3}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(25 x^{5} - 40 x^{3} = 5 x^{3} (5 x^{2} - 8)\) 1p |
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| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^{2} + 7 a + 10\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^{2} + 7 a + 10 = (a + 5) (a + 2)\) 1p 1p b \(x^{2} + 7 x - 8\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^{2} + 7 x - 8 = (x - 1) (x + 8)\) 1p 1p c \(x^{2} - 8 x + 7\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^{2} - 8 x + 7 = (x - 1) (x - 7)\) 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 |