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

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

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

a

\(x^{2} + 6 x = x (x + 6)\)

1p

1p

b

\(12 p^{2} - 21 p\)

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

b

\(12 p^{2} - 21 p = 3 p (4 p - 7)\)

1p

1p

c

\(6 a b + 27 a\)

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

c

\(6 a b + 27 a = 3 a (2 b + 9)\)

1p

1p

d

\(20 x y + 28 x z\)

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

d

\(20 x y + 28 x z = 4 x (5 y + 7 z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(6 a b c + 16 a b\)

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

a

\(6 a b c + 16 a b = 2 a b (3 c + 8)\)

1p

1p

b

\(8 x^{3} + 14 x^{5}\)

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

b

\(8 x^{3} + 14 x^{5} = 2 x^{3} (4 + 7 x^{2})\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(p^{2} + 9 p + 14\)

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

a

\(p^{2} + 9 p + 14 = (p + 2) (p + 7)\)

1p

1p

b

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

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

b

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

1p

1p

c

\(x^{2} - 11 x + 30\)

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

c

\(x^{2} - 11 x + 30 = (x - 5) (x - 6)\)

1p

1p

d

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

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

d

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

1p

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