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Matematik Tingkatan 2 Bab 2

PBD 2.2 Pemfaktoran Buku Teks
PBD
PBD
Factorisation ms. 27 – 33

• Pemfaktoran ialah proses mengenal pasti faktor sebutan dan ungkapan algebra.
Factorisation is the process of identifying the factors of an algebraic terms and algebraic expression.
• Faktor-faktor ini akan menghasilkan ungkapan asal apabila didarabkan. Tip Penting
These factors will form the original expression when multiplied together. Kembangan/ Expansion
• Pemfaktoran merupakan proses songsangan kepada kembangan. p(p + q) = p + pq
2
Factorisation is the reversed process of an expansion.
Pemfaktoran/ Factorisation

7. Isi tempat kosong bagi setiap yang berikut. SP 2.2.1 TP1 i-Think Peta Buih
i-Think
i-Think
Fill in the blanks of each of the following.
(a) (b)

2 3
1 3 1 a

Faktor Faktor
6x bagi 6x 6 3ab bagi 3ab b
Factors Factors
of 6x of 3ab

3x x ab 3a
2x 3b

8. Senaraikan semua faktor sepunya bagi setiap sebutan berikut. SP 2.2.1 TP2 TP3
List all the common factors of each of the following terms.
(a) 8y, 8y 2
2x, 4xy
2
8y = 1 × 8y 8y = 1 × 8y 2
2x = 1 × 2x 4xy = 1 × 4xy 2 × 4y 2 × 4y 2
2 × x 4 × xy 4 × 2y 4 × 2y 2
2 × 2xy 8 × y 8 × y 2
2x × 2y y × 8y
x × 4y 2y × 4y
y × 4x

Faktor sepunya/ Common factors: Faktor sepunya/ Common factors:
1, 2, x dan/ and 2x 1, 2, 4, 8, y, 2y, 4y dan/ and 8y

2
(b) 15ef, 9df, 30f
2
9d , 12de
15ef = 1 × 3 × 5 × e × f
9d = 1 × 3 × 3 × d × d 9df = 1 × 3 × 3 × d × f
2
2
12de = 1 × 2 × 2 × 3 × d × e 30f = 1 × 2 × 3 × 5 × f × f

Faktor sepunya/ Common factors: Faktor sepunya/ Common factors:
1, 3 dan/ and d 1, 3 dan/ and f

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