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

\(p^2+5p\)

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

a

\(p^2+5p=p(p+5)\)

1p

1p

b

\(5a^2-8a\)

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

b

\(5a^2-8a=a(5a-8)\)

1p

1p

c

\(6xy+27x\)

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

c

\(6xy+27x=3x(2y+9)\)

1p

1p

d

\(16ab+20ac\)

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

d

\(16ab+20ac=4a(4b+5c)\)

1p

opgave 2

Ontbind in factoren.

1p

a

\(25xyz+30xy\)

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

a

\(25xyz+30xy=5xy(5z+6)\)

1p

1p

b

\(8x^5-12x^4\)

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

b

\(8x^5-12x^4=4x^4(2x-3)\)

1p

2 havo/vwo 7.2 De product-som methode

Ontbinden in factoren (4)

opgave 1

Ontbind in factoren.

1p

a

\(p^2+6p+8\)

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

a

\(p^2+6p+8=(p+2)(p+4)\)

1p

1p

b

\(x^2+5x-24\)

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

b

\(x^2+5x-24=(x-3)(x+8)\)

1p

1p

c

\(a^2-7a+12\)

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

c

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

1p

1p

d

\(x^2+10x+25\)

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

d

\(x^2+10x+25=(x+5)(x+5)\)

1p

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