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

\(a^{2} + a\)

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

a

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

1p

1p

b

\(32 p^{2} + 36 p\)

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

b

\(32 p^{2} + 36 p = 4 p (8 p + 9)\)

1p

1p

c

\(10 x y + 14 x\)

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

c

\(10 x y + 14 x = 2 x (5 y + 7)\)

1p

1p

d

\(10 x y + 14 x z\)

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

d

\(10 x y + 14 x z = 2 x (5 y + 7 z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(35 a b c + 45 a b\)

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

a

\(35 a b c + 45 a b = 5 a b (7 c + 9)\)

1p

1p

b

\(8 x^{2} + 18 x^{4}\)

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

b

\(8 x^{2} + 18 x^{4} = 2 x^{2} (4 + 9 x^{2})\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(p^{2} + 3 p + 2\)

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

a

\(p^{2} + 3 p + 2 = (p + 2) (p + 1)\)

1p

1p

b

\(x^{2} - 4 x - 32\)

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

b

\(x^{2} - 4 x - 32 = (x + 4) (x - 8)\)

1p

1p

c

\(a^{2} - 13 a + 40\)

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

c

\(a^{2} - 13 a + 40 = (a - 8) (a - 5)\)

1p

1p

d

\(x^{2} + 4 x + 4\)

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

d

\(x^{2} + 4 x + 4 = (x + 2) (x + 2)\)

1p

"