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

\(x^{2} + 5 x\)

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

a

\(x^{2} + 5 x = x (x + 5)\)

1p

1p

b

\(6 p^{2} + 16 p\)

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

b

\(6 p^{2} + 16 p = 2 p (3 p + 8)\)

1p

1p

c

\(18 a b + 21 a\)

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

c

\(18 a b + 21 a = 3 a (6 b + 7)\)

1p

1p

d

\(6 a b + 10 a c\)

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

d

\(6 a b + 10 a c = 2 a (3 b + 5 c)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(35 x y z + 45 x y\)

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

a

\(35 x y z + 45 x y = 5 x y (7 z + 9)\)

1p

1p

b

\(10 a^{5} + 14 a^{4}\)

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

b

\(10 a^{5} + 14 a^{4} = 2 a^{4} (5 a + 7)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^{2} + 8 a + 15\)

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

a

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

1p

1p

b

\(p^{2} + p - 12\)

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

b

\(p^{2} + p - 12 = (p - 3) (p + 4)\)

1p

1p

c

\(x^{2} - 6 x + 5\)

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

c

\(x^{2} - 6 x + 5 = (x - 5) (x - 1)\)

1p

1p

d

\(a^{2} + 10 a + 25\)

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

d

\(a^{2} + 10 a + 25 = (a + 5) (a + 5)\)

1p

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