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

\(x^2+3x\)

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

a

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

1p

1p

b

\(25a^2-40a\)

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

b

\(25a^2-40a=5a(5a-8)\)

1p

1p

c

\(12ab+16a\)

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

c

\(12ab+16a=4a(3b+4)\)

1p

1p

d

\(4pq+10pr\)

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

d

\(4pq+10pr=2p(2q+5r)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(20xyz+25xy\)

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

a

\(20xyz+25xy=5xy(4z+5)\)

1p

1p

b

\(10a^3-35a^4\)

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

b

\(10a^3-35a^4=5a^3(2-7a)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

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

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

a

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

1p

1p

b

\(a^2-a-12\)

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

b

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

1p

1p

c

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

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

c

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

1p

1p

d

\(a^2-10a+25\)

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

d

\(a^2-10a+25=(a-5)(a-5)\)

1p

"