Getal & Ruimte (13e editie) - 2 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^2+4x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+4x=x(x+4)\) 1p 1p b \(2a^2-9a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(2a^2-9a=a(2a-9)\) 1p 1p c \(24pq+27p\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(24pq+27p=3p(8q+9)\) 1p 1p d \(15ab+35ac\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(15ab+35ac=5a(3b+7c)\) 1p opgave 2Ontbind in factoren. 1p a \(12xyz+32xy\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(12xyz+32xy=4xy(3z+8)\) 1p 1p b \(6x^5-27x^4\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(6x^5-27x^4=3x^4(2x-9)\) 1p 1p c \(5a^4-6a^7+a\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(5a^4-6a^7+a=a(5a^3-6a^6+1)\) 1p 1p d \(8p^4q^3-14p^3q\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(8p^4q^3-14p^3q=2p^3q(4pq^2-7)\) 1p opgave 3Ontbind in factoren. 1p a \(a^2-1\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2-1=(a-1)(a+1)\) 1p 1p b \(64x^2-9\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(64x^2-9=(8x-3)(8x+3)\) 1p 1p c \(16-9a^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(16-9a^2=(4-3a)(4+3a)\) 1p 1p d \(100x^{10}-9\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 0ms - dynamic variables d \(100x^{10}-9=(10x^5-3)(10x^5+3)\) 1p opgave 4Ontbind in factoren. 1p a \(5p^2-45\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(5p^2-45=5(p^2-9)=5(p-3)(p+3)\) 1p 1p b \(3a^5-75a^3\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(3a^5-75a^3=3a^3(a^2-25)=3a^3(a-5)(a+5)\) 1p 1p c \(x^8-16\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^8-16=(x^4-4)(x^4+4)=(x^2-2)(x^2+2)(x^4+4)\) 1p 1p d \(3a^{14}-48a^2\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 0ms - dynamic variables d \(3a^{14}-48a^2=3a^2(a^{12}-16)=3a^2(a^6-4)(a^6+4)=3a^2(a^3-2)(a^3+2)(a^6+4)\) 1p opgave 5Ontbind in factoren. 1p \(x^8y^{10}-144z^2\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(x^8y^{10}-144z^2=(x^4y^5-12z)(x^4y^5+12z)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^2+10x+9\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+10x+9=(x+9)(x+1)\) 1p 1p b \(a^2-4a-21\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^2-4a-21=(a-7)(a+3)\) 1p 1p c \(x^2-13x+36\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^2-13x+36=(x-4)(x-9)\) 1p 1p d \(a^2-2a+1\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(a^2-2a+1=(a-1)(a-1)\) 1p opgave 2Ontbind in factoren. 1p a \(2p^3+26p^2+72p\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(2p^3+26p^2+72p=2p(p^2+13p+36)=2p(p+9)(p+4)\) 1p 1p b \(x^{10}+3x^5-18\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^{10}+3x^5-18=(x^5-3)(x^5+6)\) 1p |