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

\(a^2+6a\)

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

a

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

1p

1p

b

\(35a^2+40a\)

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

b

\(35a^2+40a=5a(7a+8)\)

1p

1p

c

\(24pq+28p\)

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

c

\(24pq+28p=4p(6q+7)\)

1p

1p

d

\(6xy+14xz\)

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

d

\(6xy+14xz=2x(3y+7z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(16xyz+28xy\)

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

a

\(16xyz+28xy=4xy(4z+7)\)

1p

1p

b

\(35p^4+45p^5\)

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

b

\(35p^4+45p^5=5p^4(7+9p)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(x^2+14x+45\)

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

a

\(x^2+14x+45=(x+5)(x+9)\)

1p

1p

b

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

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

b

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

1p

1p

c

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

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

c

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

1p

1p

d

\(p^2-16p+64\)

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

d

\(p^2-16p+64=(p-8)(p-8)\)

1p

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