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

\(a^2+a\)

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

a

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

1p

1p

b

\(15a^2+24a\)

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

b

\(15a^2+24a=3a(5a+8)\)

1p

1p

c

\(25pq+30p\)

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

c

\(25pq+30p=5p(5q+6)\)

1p

1p

d

\(4xy+6xz\)

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

d

\(4xy+6xz=2x(2y+3z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(24xyz+27xy\)

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

a

\(24xyz+27xy=3xy(8z+9)\)

1p

1p

b

\(6x^4-10x^5\)

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

b

\(6x^4-10x^5=2x^4(3-5x)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(p^2+12p+32\)

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

a

\(p^2+12p+32=(p+8)(p+4)\)

1p

1p

b

\(x^2-4x-21\)

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

b

\(x^2-4x-21=(x+3)(x-7)\)

1p

1p

c

\(a^2-11a+30\)

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

c

\(a^2-11a+30=(a-5)(a-6)\)

1p

1p

d

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

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

d

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

1p

"