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

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

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

a

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

1p

1p

b

\(12 x^{2} - 14 x\)

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

b

\(12 x^{2} - 14 x = 2 x (6 x - 7)\)

1p

1p

c

\(8 a b + 10 a\)

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

c

\(8 a b + 10 a = 2 a (4 b + 5)\)

1p

1p

d

\(6 p q + 14 p r\)

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

d

\(6 p q + 14 p r = 2 p (3 q + 7 r)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(9 a b c + 15 a b\)

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

a

\(9 a b c + 15 a b = 3 a b (3 c + 5)\)

1p

1p

b

\(10 a^{3} - 35 a^{2}\)

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

b

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

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(p^{2} + 8 p + 7\)

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

a

\(p^{2} + 8 p + 7 = (p + 1) (p + 7)\)

1p

1p

b

\(a^{2} - 4 a - 5\)

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

b

\(a^{2} - 4 a - 5 = (a - 5) (a + 1)\)

1p

1p

c

\(x^{2} - 9 x + 20\)

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

c

\(x^{2} - 9 x + 20 = (x - 5) (x - 4)\)

1p

1p

d

\(x^{2} - 6 x + 9\)

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

d

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

1p

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