Getal & Ruimte (13e editie) - 2 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^2+6x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+6x=x(x+6)\) 1p 1p b \(3p^2+8p\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(3p^2+8p=p(3p+8)\) 1p 1p c \(40xy+45x\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(40xy+45x=5x(8y+9)\) 1p 1p d \(12ab+15ac\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(12ab+15ac=3a(4b+5c)\) 1p opgave 2Ontbind in factoren. 1p a \(16abc+18ab\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(16abc+18ab=2ab(8c+9)\) 1p 1p b \(6x^5-14x^3\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(6x^5-14x^3=2x^3(3x^2-7)\) 1p 1p c \(2a^8+7a^3+a^2\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(2a^8+7a^3+a^2=a^2(2a^6+7a+1)\) 1p 1p d \(8x^2y^4+14x^3y^2\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(8x^2y^4+14x^3y^2=2x^2y^2(4y^2+7x)\) 1p opgave 3Ontbind in factoren. 1p a \(p^2-4\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^2-4=(p-2)(p+2)\) 1p 1p b \(16a^2-1\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(16a^2-1=(4a-1)(4a+1)\) 1p 1p c \(144-121x^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(144-121x^2=(12-11x)(12+11x)\) 1p 1p d \(81a^6-49\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 0ms - dynamic variables d \(81a^6-49=(9a^3-7)(9a^3+7)\) 1p opgave 4Ontbind in factoren. 1p a \(32x^2-2\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(32x^2-2=2(16x^2-1)=2(4x-1)(4x+1)\) 1p 1p b \(75p^3-3p\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(75p^3-3p=3p(25p^2-1)=3p(5p-1)(5p+1)\) 1p 1p c \(a^8-16\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 1ms - dynamic variables c \(a^8-16=(a^4-4)(a^4+4)=(a^2-2)(a^2+2)(a^4+4)\) 1p 1p d \(3a^{14}-243a^2\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 1ms - dynamic variables d \(3a^{14}-243a^2=3a^2(a^{12}-81)=3a^2(a^6-9)(a^6+9)=3a^2(a^3-3)(a^3+3)(a^6+9)\) 1p opgave 5Ontbind in factoren. 1p \(p^{12}q^{12}-64r^{12}\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(p^{12}q^{12}-64r^{12}=(p^6q^6-8r^6)(p^6q^6+8r^6)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^2+5a+6\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2+5a+6=(a+3)(a+2)\) 1p 1p b \(p^2-6p-7\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(p^2-6p-7=(p+1)(p-7)\) 1p 1p c \(x^2-8x+7\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^2-8x+7=(x-1)(x-7)\) 1p 1p d \(a^2+4a+4\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(a^2+4a+4=(a+2)(a+2)\) 1p opgave 2Ontbind in factoren. 1p a \(2x^5+6x^4-80x^3\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(2x^5+6x^4-80x^3=2x^3(x^2+3x-40)=2x^3(x+8)(x-5)\) 1p 1p b \(x^{10}-11x^5+18\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^{10}-11x^5+18=(x^5-9)(x^5-2)\) 1p |