Getal & Ruimte (13e editie) - 2 havo/vwo

'Ontbinden in factoren'.

2 havo/vwo 7.1 Buiten haakjes brengen

Ontbinden in factoren (6)

opgave 1

Ontbind 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

\(4x^2-9x\)

BuitenHaakjes (2)
00he - Ontbinden in factoren - basis - 0ms - dynamic variables

b

\(4x^2-9x=x(4x-9)\)

1p

1p

c

\(18ab+21a\)

BuitenHaakjes (3)
00hf - Ontbinden in factoren - basis - 0ms - dynamic variables

c

\(18ab+21a=3a(6b+7)\)

1p

1p

d

\(24ab+27ac\)

BuitenHaakjes (4)
00hg - Ontbinden in factoren - basis - 0ms - dynamic variables

d

\(24ab+27ac=3a(8b+9c)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(20pqr+28pq\)

BuitenHaakjes (5)
00hh - Ontbinden in factoren - basis - 0ms - dynamic variables

a

\(20pqr+28pq=4pq(5r+7)\)

1p

1p

b

\(20x^3-45x^4\)

BuitenHaakjes (6)
00hi - Ontbinden in factoren - basis - 0ms - dynamic variables

b

\(20x^3-45x^4=5x^3(4-9x)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^2+15a+54\)

SomProductmethode (1)
00hn - Ontbinden in factoren - basis - 0ms - dynamic variables

a

\(a^2+15a+54=(a+6)(a+9)\)

1p

1p

b

\(p^2+p-30\)

SomProductmethode (2)
00ho - Ontbinden in factoren - basis - 0ms - dynamic variables

b

\(p^2+p-30=(p+6)(p-5)\)

1p

1p

c

\(x^2-8x+15\)

SomProductmethode (3)
00hp - Ontbinden in factoren - basis - 0ms - dynamic variables

c

\(x^2-8x+15=(x-5)(x-3)\)

1p

1p

d

\(x^2-2x+1\)

SomProductmethode (4)
00hq - Ontbinden in factoren - basis - 0ms - dynamic variables

d

\(x^2-2x+1=(x-1)(x-1)\)

1p

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