Getal & Ruimte (13e editie) - 3 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(x^2+2x\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+2x=x(x+2)\) 1p 1p b \(8a^2+9a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(8a^2+9a=a(8a+9)\) 1p 1p c \(6ab+27a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(6ab+27a=3a(2b+9)\) 1p 1p d \(10pq+14pr\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(10pq+14pr=2p(5q+7r)\) 1p opgave 2Ontbind in factoren. 1p a \(20xyz+28xy\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(20xyz+28xy=4xy(5z+7)\) 1p 1p b \(4a^5+6a^4\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(4a^5+6a^4=2a^4(2a+3)\) 1p 1p c \(4x^4-5x^2+x\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(4x^4-5x^2+x=x(4x^3-5x+1)\) 1p 1p d \(12x^3y+14x^2y^3\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(12x^3y+14x^2y^3=2x^2y(6x+7y^2)\) 1p opgave 3Ontbind in factoren. 1p a \(a^2-121\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2-121=(a-11)(a+11)\) 1p 1p b \(4p^2-25\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(4p^2-25=(2p-5)(2p+5)\) 1p 1p c \(49-9x^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(49-9x^2=(7-3x)(7+3x)\) 1p 1p d \(121x^8-100\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 0ms - dynamic variables d \(121x^8-100=(11x^4-10)(11x^4+10)\) 1p opgave 4Ontbind in factoren. 1p a \(75p^2-12\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(75p^2-12=3(25p^2-4)=3(5p-2)(5p+2)\) 1p 1p b \(20a^4-45a^2\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(20a^4-45a^2=5a^2(4a^2-9)=5a^2(2a-3)(2a+3)\) 1p 1p c \(a^4-1\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^4-1=(a^2-1)(a^2+1)=(a-1)(a+1)(a^2+1)\) 1p 1p d \(x^{11}-16x^3\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^{11}-16x^3=x^3(x^8-16)=x^3(x^4-4)(x^4+4)=x^3(x^2-2)(x^2+2)(x^4+4)\) 1p opgave 5Ontbind in factoren. 1p \(a^6b^{12}-144c^4\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(a^6b^{12}-144c^4=(a^3b^6-12c^2)(a^3b^6+12c^2)\) 1p |
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| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(x^2+12x+35\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(x^2+12x+35=(x+5)(x+7)\) 1p 1p b \(a^2+4a-45\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^2+4a-45=(a-5)(a+9)\) 1p 1p c \(a^2-5a+6\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(a^2-5a+6=(a-2)(a-3)\) 1p 1p d \(x^2+8x+16\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(x^2+8x+16=(x+4)(x+4)\) 1p opgave 2Ontbind in factoren. 1p a \(2p^3+20p^2+48p\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(2p^3+20p^2+48p=2p(p^2+10p+24)=2p(p+4)(p+6)\) 1p 1p b \(a^4+4a^2-32\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(a^4+4a^2-32=(a^2-4)(a^2+8)\) 1p |