Getal & Ruimte (13e editie) - 3 havo

'Ontbinden in factoren'.

2 havo/vwo 7.1 Buiten haakjes brengen

Ontbinden in factoren (6)

opgave 1

Ontbind in factoren.

1p

a

\(x^2+5x\)

BuitenHaakjes (1)
00hd - Ontbinden in factoren - basis - 0ms - dynamic variables

a

\(x^2+5x=x(x+5)\)

1p

1p

b

\(5x^2-6x\)

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

b

\(5x^2-6x=x(5x-6)\)

1p

1p

c

\(16pq+20p\)

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

c

\(16pq+20p=4p(4q+5)\)

1p

1p

d

\(8ab+12ac\)

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

d

\(8ab+12ac=4a(2b+3c)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(15abc+21ab\)

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

a

\(15abc+21ab=3ab(5c+7)\)

1p

1p

b

\(6p^2-8p^3\)

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

b

\(6p^2-8p^3=2p^2(3-4p)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^2+9a+14\)

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

a

\(a^2+9a+14=(a+7)(a+2)\)

1p

1p

b

\(x^2+8x-9\)

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

b

\(x^2+8x-9=(x+9)(x-1)\)

1p

1p

c

\(x^2-7x+6\)

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

c

\(x^2-7x+6=(x-1)(x-6)\)

1p

1p

d

\(a^2+8a+16\)

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

d

\(a^2+8a+16=(a+4)(a+4)\)

1p

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