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

\(x^2+2x\)

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

a

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

1p

1p

b

\(8a^2+12a\)

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

b

\(8a^2+12a=4a(2a+3)\)

1p

1p

c

\(40pq+45p\)

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

c

\(40pq+45p=5p(8q+9)\)

1p

1p

d

\(16xy+20xz\)

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

d

\(16xy+20xz=4x(4y+5z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(8abc+28ab\)

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

a

\(8abc+28ab=4ab(2c+7)\)

1p

1p

b

\(20a^2-36a^3\)

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

b

\(20a^2-36a^3=4a^2(5-9a)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^2+9a+8\)

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

a

\(a^2+9a+8=(a+8)(a+1)\)

1p

1p

b

\(x^2+7x-18\)

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

b

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

1p

1p

c

\(x^2-9x+18\)

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

c

\(x^2-9x+18=(x-6)(x-3)\)

1p

1p

d

\(p^2-6p+9\)

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

d

\(p^2-6p+9=(p-3)(p-3)\)

1p

"