Getal & Ruimte (13e editie) - 3 havo
'Ontbinden in factoren'.
| 2 havo/vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(p^{2} + 3 p\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^{2} + 3 p = p (p + 3)\) 1p 1p b \(6 a^{2} + 15 a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(6 a^{2} + 15 a = 3 a (2 a + 5)\) 1p 1p c \(4 a b + 14 a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(4 a b + 14 a = 2 a (2 b + 7)\) 1p 1p d \(12 x y + 16 x z\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(12 x y + 16 x z = 4 x (3 y + 4 z)\) 1p opgave 2Ontbind in factoren. 1p a \(8 x y z + 18 x y\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(8 x y z + 18 x y = 2 x y (4 z + 9)\) 1p 1p b \(30 p^{3} - 35 p^{4}\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(30 p^{3} - 35 p^{4} = 5 p^{3} (6 - 7 p)\) 1p |
|
| 2 havo/vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^{2} + 8 x + 12\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^{2} + 8 x + 12 = (x + 2) (x + 6)\) 1p 1p b \(a^{2} + 2 a - 35\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^{2} + 2 a - 35 = (a + 7) (a - 5)\) 1p 1p c \(a^{2} - 9 a + 18\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^{2} - 9 a + 18 = (a - 6) (a - 3)\) 1p 1p d \(p^{2} + 10 p + 25\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(p^{2} + 10 p + 25 = (p + 5) (p + 5)\) 1p |