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 \(35a^2-40a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(35a^2-40a=5a(7a-8)\) 1p 1p c \(14pq+18p\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(14pq+18p=2p(7q+9)\) 1p 1p d \(6xy+9xz\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(6xy+9xz=3x(2y+3z)\) 1p opgave 2Ontbind in factoren. 1p a \(25abc+40ab\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(25abc+40ab=5ab(5c+8)\) 1p 1p b \(14a^3-16a^2\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(14a^3-16a^2=2a^2(7a-8)\) 1p 1p c \(2x^3+9x^8+x^6\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(2x^3+9x^8+x^6=x^3(2+9x^5+x^3)\) 1p 1p d \(21a^4b-27a^3b^4\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(21a^4b-27a^3b^4=3a^3b(7a-9b^3)\) 1p opgave 3Ontbind in factoren. 1p a \(x^2-100\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2-100=(x-10)(x+10)\) 1p 1p b \(100p^2-49\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(100p^2-49=(10p-7)(10p+7)\) 1p 1p c \(9-100x^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(9-100x^2=(3-10x)(3+10x)\) 1p 1p d \(81a^{10}-49\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 1ms - dynamic variables d \(81a^{10}-49=(9a^5-7)(9a^5+7)\) 1p opgave 4Ontbind in factoren. 1p a \(16x^2-4\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(16x^2-4=4(4x^2-1)=4(2x-1)(2x+1)\) 1p 1p b \(45p^3-20p\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(45p^3-20p=5p(9p^2-4)=5p(3p-2)(3p+2)\) 1p 1p c \(a^{12}-16\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^{12}-16=(a^6-4)(a^6+4)=(a^3-2)(a^3+2)(a^6+4)\) 1p 1p d \(x^{14}-16x^2\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^{14}-16x^2=x^2(x^{12}-16)=x^2(x^6-4)(x^6+4)=x^2(x^3-2)(x^3+2)(x^6+4)\) 1p opgave 5Ontbind in factoren. 1p \(a^4b^{10}-144c^2\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(a^4b^{10}-144c^2=(a^2b^5-12c)(a^2b^5+12c)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^2+11x+30\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+11x+30=(x+5)(x+6)\) 1p 1p b \(a^2+5a-36\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^2+5a-36=(a+9)(a-4)\) 1p 1p c \(a^2-13a+42\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^2-13a+42=(a-7)(a-6)\) 1p 1p d \(x^2-18x+81\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^2-18x+81=(x-9)(x-9)\) 1p opgave 2Ontbind in factoren. 1p a \(5p^3+5p^2-100p\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(5p^3+5p^2-100p=5p(p^2+p-20)=5p(p-4)(p+5)\) 1p 1p b \(x^{10}-14x^5+48\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^{10}-14x^5+48=(x^5-8)(x^5-6)\) 1p |