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

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

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

a

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

1p

1p

b

\(2 a^{2} - 9 a\)

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

b

\(2 a^{2} - 9 a = a (2 a - 9)\)

1p

1p

c

\(12 x y + 14 x\)

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

c

\(12 x y + 14 x = 2 x (6 y + 7)\)

1p

1p

d

\(25 x y + 30 x z\)

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

d

\(25 x y + 30 x z = 5 x (5 y + 6 z)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(25 a b c + 35 a b\)

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

a

\(25 a b c + 35 a b = 5 a b (5 c + 7)\)

1p

1p

b

\(24 x^{3} - 28 x^{5}\)

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

b

\(24 x^{3} - 28 x^{5} = 4 x^{3} (6 - 7 x^{2})\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(a^{2} + 7 a + 12\)

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

a

\(a^{2} + 7 a + 12 = (a + 4) (a + 3)\)

1p

1p

b

\(p^{2} - 8 p - 9\)

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

b

\(p^{2} - 8 p - 9 = (p + 1) (p - 9)\)

1p

1p

c

\(a^{2} - 16 a + 63\)

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

c

\(a^{2} - 16 a + 63 = (a - 9) (a - 7)\)

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

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