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

\(a^2+3a\)

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

a

\(a^2+3a=a(a+3)\)

1p

1p

b

\(14p^2-16p\)

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

b

\(14p^2-16p=2p(7p-8)\)

1p

1p

c

\(20xy+28x\)

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

c

\(20xy+28x=4x(5y+7)\)

1p

1p

d

\(9ab+12ac\)

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

d

\(9ab+12ac=3a(3b+4c)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(20xyz+32xy\)

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

a

\(20xyz+32xy=4xy(5z+8)\)

1p

1p

b

\(12p^2+21p^5\)

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

b

\(12p^2+21p^5=3p^2(4+7p^3)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(x^2+13x+42\)

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

a

\(x^2+13x+42=(x+7)(x+6)\)

1p

1p

b

\(a^2-7a-18\)

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

b

\(a^2-7a-18=(a+2)(a-9)\)

1p

1p

c

\(p^2-4p+3\)

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

c

\(p^2-4p+3=(p-3)(p-1)\)

1p

1p

d

\(a^2+12a+36\)

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

d

\(a^2+12a+36=(a+6)(a+6)\)

1p

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