UNIVERSITI TUN HUSSEIN ONN MALAYSIA

86400 PARIT RAJA, BATU PAHAT

TUGASAN INDIVIDU

PROGRAM SARJANA MUDA PENDIDIKAN ( SEKOLAH RENDAH )

ALGEBRA ( BBR 23703 )

NAMA : NOR KHARI IZARDI BIN ISMAIL

NO. K.PENGENALAN : 820101 – 06 – 6353

NO. MATRIK : DB 100058

PPG : SAINS SEKSYEN 3

NAMA PENSYARAH : DR. MUHD. SAIFULLAH BIN RUSIMAN

BBR 23703ALGEBRA

INDIVIDUAL ASSIGNMENT NO. 1

Question 1 [5%]

(a) Solve 3x² + 2x² - 5 = 0 by

(i) completing the squares

Solution

3x² + 2² = 0

3x² + 2x = 5

3x² + 2x = 5

3 3 3

x² + 2x = 5

3 3

x² + 2x + 3 ² = 5 + 3 ²

3 2 3 2

x² + 2x + 2 ² = 5 + 2 ²

3 6 3 6

x² + 2x + 1 ² = 5 + 1 ²

3 3 3 3

x + 1 ² = 5 + 1

3 3 9

x + 1 ² = 16

3 9

x + 1 = ⁺₋ 16

3 9

x + 1 = ⁺₋ 4

3 3

x + 1 = 4

3 3

x = 4 - 1 atau x = - 4 - 1

3 3 3 3

x = 3 x = - 5

2 3

X = 1

ii) Quadratic formula

3x2 + 2x – 5 = 0

a = 3 b = 2 c = -5

x = -b ± b 2 – 4ac

2a

x = - (2) ± (2) 2 – 4 (3) (-5)

2 (3)

x = -2 ± 4 – 12 ( -5)

6

x = -2 ± 64

6

x = -2 ± 8

6

x = -2 + 8 atau x = - 2 - 8

6 6

x = 1 atau x = - 1.667

Question 2[ 5%]

b. Show that -1 is the root of x3–2x2–x + 2

Hence, factorize completely.

Solution:

x3–2x2– x + 2

= [ –1 ]3 – 2 [ –1 ]2 – [ –1 ] + 2

= 0

Showed

x3 – 2x2 – x + 2

= x [ x2 – 2x – 1 ] + 2

BBR 23703ALGEBRA

INDIVIDUAL ASSIGNMENT NO. 2

Question 1 [6%]

Sketch the graph and determine the domain and range.

a. y = 2x + 7

Solution:

y = 2x + 7

y

x

x 20 40 0 10y 47 87 7 27

b. y = -x2 + x + 4

y

-1.56 -2.56 x

x 0 2 -5 -6y 4 2 -26 -38

c. y =

y

x

x 2 5 10y 1 0.25 0.02

____1____

[ x-3]2

Question 2 [4%]

Given f ( = + 4 , g ( + and h ( = 2

Calculate

a) f o g

f g ( = f

= f

= __3_ + 4

= _9_ + 4

²

b) f o g o h = fg

= fg

= _9_ + 4

²

= _9_ + 4

²