Ontbinden in factoren_somproductmethode

(1)

Ontbinden in factoren

(2)

Som, product methode

de som is +13 en het product is +42 Producttabel : ₁ ₄₂ 2 21 3 14 6 7 Dan is de som :

(x + 6)(x + 7)

x

2

+ 13x + 42 =

43 23 17 13

(3)

Som, product

methode

(x + 6)(x + 2) (x + 14)(x + 4) (x + 12)(x + 6) (x + 15)(x + 3) (x +10)(x + 8) Ontbind in factoren: (a) x2 + 8x + 12 (b) x2 + 18x + 56 (c) x2 + 18x + 72 (d) x2 + 18x + 45 (e) x2 + 18x + 80

(4)

Som, product methode

de som is -18 en het product is +17 Producttabel : ₁ ₁₇ -1 -17 Dan is de som :

(x - 1)(x - 17)

x

2

- 18x + 17 =

18 -18 + x + = + - x - = +

(5)

Som, product

methode

(x - 9)2 (x - 12)(x - 2) (x - 8)(x - 3) (x - 6)(x - 4) (x - 24)(x - 1) Ontbind in factoren: (a) x2 - 18x + 81 (b) x2 - 14x + 24 (c) x2 - 11x + 24 (d) x2 - 10x + 24 (e) x2 - 25x + 24

(6)

Som, product methode

1 -42 2 -21 3 -14 6 -7 -1 42 -2 21 -3 14 -6 7

de som is -1 en het product is - 42

Producttabel : Dan is de som :

(x + 6)(x - 7)

x

2

- x - 42 =

-41 -19 -11 -1 41 19 11 1 + x - = -- x + =

(7)

-Som, product

methode

(x - 4)(x + 3) (x + 4)(x - 3) (x - 6)(x + 2) (x - 12)(x + 1) (x + 12)(x - 1) Ontbind in factoren: (a) x2 - x - 12 (b) x2 + x - 12 (c) x2 - 4x - 12 (d) x2 - 11x - 12 (e) x2 + 11x - 12

(8)

Som, product

methode

(x + 7)(x + 3) (x - 5)2 (x + 6)(x - 4) (x - 4)2 (x -10)(x + 1) (x - 1)(x + 6) Ontbind in factoren: (a) x2 + 10x + 21 (b) x2 - 10x + 25 (c) x2 + 2x - 24 (d) x2 - 8x + 16 (e) x2 - 9x -10 (f) x2 + 5x - 6 (g) x2 - 6x + 5 _{(x - 5)(x - 1)} + x + = + + x - = -- x + = -- x - = +

(9)

Som, product methode

de som is 0 en het product is -25 Producttabel : ₁ _-25 -1 25 5 -5 Dan is de som :

(x + 5)(x - 5)

x

2

- 25 =

-24 24 0

(10)

Questions 3

Som, product

methode

(x - 4)(x + 4)

(x + 10)(x - 10)

Kan niet ontbonden worden

(2x - 7)(2x + 7) (9 - x)(9 + x) Ontbind in factoren: (a) x2 - 16 (b) x2 - 100 (c) x2 + 49 (d) 4x2 - 49 (e) 81 - x2 (f) (g)