Getal & Ruimte (13e editie) - 2 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^2+5x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+5x=x(x+5)\) 1p 1p b \(18a^2+21a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(18a^2+21a=3a(6a+7)\) 1p 1p c \(15pq+35p\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(15pq+35p=5p(3q+7)\) 1p 1p d \(20ab+35ac\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(20ab+35ac=5a(4b+7c)\) 1p opgave 2Ontbind in factoren. 1p a \(16xyz+20xy\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(16xyz+20xy=4xy(4z+5)\) 1p 1p b \(4p^4-14p^2\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(4p^4-14p^2=2p^2(2p^2-7)\) 1p 1p c \(2a^5+5a^2+a^3\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(2a^5+5a^2+a^3=a^2(2a^3+5+a)\) 1p 1p d \(24x^5y^2-27xy^4\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(24x^5y^2-27xy^4=3xy^2(8x^4-9y^2)\) 1p opgave 3Ontbind in factoren. 1p a \(a^2-81\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2-81=(a-9)(a+9)\) 1p 1p b \(49x^2-144\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(49x^2-144=(7x-12)(7x+12)\) 1p 1p c \(121-81x^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(121-81x^2=(11-9x)(11+9x)\) 1p 1p d \(100a^{10}-9\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 1ms - dynamic variables d \(100a^{10}-9=(10a^5-3)(10a^5+3)\) 1p opgave 4Ontbind in factoren. 1p a \(16p^2-36\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(16p^2-36=4(4p^2-9)=4(2p-3)(2p+3)\) 1p 1p b \(12a^4-3a^2\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(12a^4-3a^2=3a^2(4a^2-1)=3a^2(2a-1)(2a+1)\) 1p 1p c \(x^4-81\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^4-81=(x^2-9)(x^2+9)=(x-3)(x+3)(x^2+9)\) 1p 1p d \(2a^5-32a\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 1ms - dynamic variables d \(2a^5-32a=2a(a^4-16)=2a(a^2-4)(a^2+4)=2a(a-2)(a+2)(a^2+4)\) 1p opgave 5Ontbind in factoren. 1p \(x^8y^{12}-64z^8\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(x^8y^{12}-64z^8=(x^4y^6-8z^4)(x^4y^6+8z^4)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^2+7a+10\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2+7a+10=(a+2)(a+5)\) 1p 1p b \(p^2+4p-21\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(p^2+4p-21=(p+7)(p-3)\) 1p 1p c \(a^2-12a+35\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^2-12a+35=(a-7)(a-5)\) 1p 1p d \(x^2+2x+1\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^2+2x+1=(x+1)(x+1)\) 1p opgave 2Ontbind in factoren. 1p a \(5x^5+25x^4-120x^3\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(5x^5+25x^4-120x^3=5x^3(x^2+5x-24)=5x^3(x-3)(x+8)\) 1p 1p b \(x^{14}-5x^7-6\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^{14}-5x^7-6=(x^7-6)(x^7+1)\) 1p |