Getal & Ruimte (13e editie) - 2 vwo
'Ontbinden in factoren'.
| 2 vwo | 7.1 Buiten haakjes brengen |
opgave 1Ontbind in factoren. 1p a \(a^2+a\) BuitenHaakjes (1) 00hd - Ontbinden in factoren - basis - dynamic variables a \(a^2+a=a(a+1)\) 1p 1p b \(4a^2-14a\) BuitenHaakjes (2) 00he - Ontbinden in factoren - basis - dynamic variables b \(4a^2-14a=2a(2a-7)\) 1p 1p c \(25xy+45x\) BuitenHaakjes (3) 00hf - Ontbinden in factoren - basis - dynamic variables c \(25xy+45x=5x(5y+9)\) 1p 1p d \(12xy+32xz\) BuitenHaakjes (4) 00hg - Ontbinden in factoren - basis - dynamic variables d \(12xy+32xz=4x(3y+8z)\) 1p opgave 2Ontbind in factoren. 1p a \(14pqr+18pq\) BuitenHaakjes (5) 00hh - Ontbinden in factoren - basis - dynamic variables a \(14pqr+18pq=2pq(7r+9)\) 1p 1p b \(6x^2-8x^4\) BuitenHaakjes (6) 00hi - Ontbinden in factoren - basis - dynamic variables b \(6x^2-8x^4=2x^2(3-4x^2)\) 1p 1p c \(2a^5+9a^6+a^7\) BuitenHaakjes (7) 00hj - Ontbinden in factoren - basis - dynamic variables c \(2a^5+9a^6+a^7=a^5(2+9a+a^2)\) 1p 1p d \(4p^3q^3-14p^4q^4\) BuitenHaakjes (8) 00hk - Ontbinden in factoren - basis - dynamic variables d \(4p^3q^3-14p^4q^4=2p^3q^3(2-7pq)\) 1p opgave 3Ontbind in factoren. 1p a \(a^2-49\) Verschil2Kwadraten (1) 00hl - Ontbinden in factoren - basis - dynamic variables a \(a^2-49=(a-7)(a+7)\) 1p 1p b \(16x^2-9\) Verschil2Kwadraten (2) 00hm - Ontbinden in factoren - basis - dynamic variables b \(16x^2-9=(4x-3)(4x+3)\) 1p 1p c \(100-121a^2\) Verschil2Kwadraten (3) 00hs - Ontbinden in factoren - basis - dynamic variables c \(100-121a^2=(10-11a)(10+11a)\) 1p 1p d \(144a^8-49\) Verschil2Kwadraten (4) 00ht - Ontbinden in factoren - basis - dynamic variables d \(144a^8-49=(12a^4-7)(12a^4+7)\) 1p opgave 4Ontbind in factoren. 1p a \(18x^2-50\) Verschil2Kwadraten (5) 00hu - Ontbinden in factoren - basis - dynamic variables a \(18x^2-50=2(9x^2-25)=2(3x-5)(3x+5)\) 1p 1p b \(75x^3-12x\) Verschil2Kwadraten (6) 00hv - Ontbinden in factoren - basis - dynamic variables b \(75x^3-12x=3x(25x^2-4)=3x(5x-2)(5x+2)\) 1p 1p c \(p^4-81\) Verschil2Kwadraten (7) 00hw - Ontbinden in factoren - basis - dynamic variables c \(p^4-81=(p^2-9)(p^2+9)=(p-3)(p+3)(p^2+9)\) 1p 1p d \(2p^{15}-32p^3\) Verschil2Kwadraten (8) 00hx - Ontbinden in factoren - basis - dynamic variables d \(2p^{15}-32p^3=2p^3(p^{12}-16)=2p^3(p^6-4)(p^6+4)=2p^3(p^3-2)(p^3+2)(p^6+4)\) 1p opgave 5Ontbind in factoren. 1p \(x^4y^2-81z^6\) Verschil2Kwadraten (9) 00hz - Ontbinden in factoren - basis - dynamic variables ○ \(x^4y^2-81z^6=(x^2y-9z^3)(x^2y+9z^3)\) 1p |
|
| 2 vwo | 7.2 De product-som methode |
opgave 1Ontbind in factoren. 1p a \(a^2+12a+32\) SomProductmethode (1) 00hn - Ontbinden in factoren - basis - dynamic variables a \(a^2+12a+32=(a+8)(a+4)\) 1p 1p b \(x^2+4x-12\) SomProductmethode (2) 00ho - Ontbinden in factoren - basis - dynamic variables b \(x^2+4x-12=(x-2)(x+6)\) 1p 1p c \(a^2-4a+3\) SomProductmethode (3) 00hp - Ontbinden in factoren - basis - dynamic variables c \(a^2-4a+3=(a-3)(a-1)\) 1p 1p d \(p^2+4p+4\) SomProductmethode (4) 00hq - Ontbinden in factoren - basis - dynamic variables d \(p^2+4p+4=(p+2)(p+2)\) 1p opgave 2Ontbind in factoren. 1p a \(4x^4-32x^3+28x^2\) SomProductmethode (5) 00hr - Ontbinden in factoren - basis - dynamic variables a \(4x^4-32x^3+28x^2=4x^2(x^2-8x+7)=4x^2(x-7)(x-1)\) 1p 1p b \(x^{10}-9x^5+18\) SomProductmethode (6) 00hy - Ontbinden in factoren - basis - dynamic variables b \(x^{10}-9x^5+18=(x^5-3)(x^5-6)\) 1p |