Getal & Ruimte (13e editie) - 3 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(p^2+5p\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^2+5p=p(p+5)\) 1p 1p b \(8x^2+20x\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - 0ms - dynamic variables b \(8x^2+20x=4x(2x+5)\) 1p 1p c \(16ab+20a\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - 0ms - dynamic variables c \(16ab+20a=4a(4b+5)\) 1p 1p d \(32xy+36xz\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - 0ms - dynamic variables d \(32xy+36xz=4x(8y+9z)\) 1p opgave 2Ontbind in factoren. 1p a \(20abc+35ab\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - 0ms - dynamic variables a \(20abc+35ab=5ab(4c+7)\) 1p 1p b \(6x^2-9x^4\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - 0ms - dynamic variables b \(6x^2-9x^4=3x^2(2-3x^2)\) 1p 1p c \(7a^8-8a^4+a^7\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - 0ms - dynamic variables c \(7a^8-8a^4+a^7=a^4(7a^4-8+a^3)\) 1p 1p d \(6a^5b^3-14ab\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - 0ms - dynamic variables d \(6a^5b^3-14ab=2ab(3a^4b^2-7)\) 1p opgave 3Ontbind in factoren. 1p a \(p^2-36\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - 0ms - dynamic variables a \(p^2-36=(p-6)(p+6)\) 1p 1p b \(144x^2-49\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - 1ms - dynamic variables b \(144x^2-49=(12x-7)(12x+7)\) 1p 1p c \(121-4a^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - 1ms - dynamic variables c \(121-4a^2=(11-2a)(11+2a)\) 1p 1p d \(64x^6-121\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - 1ms - dynamic variables d \(64x^6-121=(8x^3-11)(8x^3+11)\) 1p opgave 4Ontbind in factoren. 1p a \(32x^2-18\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - 1ms - dynamic variables a \(32x^2-18=2(16x^2-9)=2(4x-3)(4x+3)\) 1p 1p b \(50a^3-18a\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - 1ms - dynamic variables b \(50a^3-18a=2a(25a^2-9)=2a(5a-3)(5a+3)\) 1p 1p c \(p^4-1\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - 0ms - dynamic variables c \(p^4-1=(p^2-1)(p^2+1)=(p-1)(p+1)(p^2+1)\) 1p 1p d \(3a^{10}-243a^2\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - 0ms - dynamic variables d \(3a^{10}-243a^2=3a^2(a^8-81)=3a^2(a^4-9)(a^4+9)=3a^2(a^2-3)(a^2+3)(a^4+9)\) 1p opgave 5Ontbind in factoren. 1p \(x^2y^6-z^4\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - 0ms - dynamic variables ○ \(x^2y^6-z^4=(xy^3-z^2)(xy^3+z^2)\) 1p |
|
| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^2+8a+15\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - 0ms - dynamic variables a \(a^2+8a+15=(a+3)(a+5)\) 1p 1p b \(x^2-x-20\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - 0ms - dynamic variables b \(x^2-x-20=(x-5)(x+4)\) 1p 1p c \(x^2-9x+18\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - 0ms - dynamic variables c \(x^2-9x+18=(x-3)(x-6)\) 1p 1p d \(p^2+14p+49\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - 0ms - dynamic variables d \(p^2+14p+49=(p+7)(p+7)\) 1p opgave 2Ontbind in factoren. 1p a \(a^4-8a^3+15a^2\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - 1ms - dynamic variables a \(a^4-8a^3+15a^2=a^2(a^2-8a+15)=a^2(a-3)(a-5)\) 1p 1p b \(p^6+3p^3-28\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - 0ms - dynamic variables b \(p^6+3p^3-28=(p^3-4)(p^3+7)\) 1p |