Page 13 - PBD Plus Matematik T4 (EG)

Matematik Tingkatan 4 Bab 1 Fungsi dan Persamaan Kuadratik dalam Satu Pemboleh Ubah

SP 1.1.6 Menentukan punca suatu persamaan kuadratik dengan kaedah pemfaktoran.

10. Cari punca-punca bagi persamaan kuadratik berikut menggunakan kaedah pemfaktoran. TP 3
Find the roots of the following quadratic equations by using factorization method.
Contoh 2
x − 5x + 6 = 0 Kalkulator (a) −6x + 11x + 35 = 0
2
2
−6x + 11x + 35 = 0
x − 5x + 6 = 0 6x − 11x − 35 = 0
2
2
(x − 2)(x − 3) = 0 (3x + 5)(2x − 7) = 0
x − 2 = 0 atau / or x − 3 = 0 3x + 5 = 0 atau / or 2x − 7 = 0
x = 2 x = 3 5 7
x = − x =
3 2

2
(b) 5x + 42x + 16 = 0 7x – 32 3
(c) 5 = x
5x + 42x + 16 = 0
2
(5x + 2)(x + 8) = 0 x(7x − 32) = 3(5)
2
5x + 2 = 0 atau / or x + 8 = 0 7x − 32x = 15
2
x = − 2 x = −8 7x − 32x − 15 = 0
5 (7x + 3)(x − 5) = 0
7x + 3 = 0 atau / or x − 5 = 0
x = − 3 x = 5
7

Cuba jawab Praktis SPM 1, K2: S1, S2, S3

SP 1.1.7 Melakar graf fungsi kuadratik.

11. Lakarkan graf bagi setiap fungsi kuadratik yang berikut. TP 4 Simulasi
Sketch a graph for each of the following quadratic functions. Graf fungsi kuadratik
Contoh
f(x) = x² + x − 6 f(x)
Nilai a = 1  0, graf berbentuk
The value of a = 1  0, the shape of graph is
Nilai c = −6, pintasan-y = –6 -3 0 2 x
The value of c = −6, y-intercept = –6
Video
Apabila / When f(x) = 0 Langkah-langkah melakar
graf fungsi kuadratik
x² + x − 6 = 0 Steps to sketch graph of
(x + 3)(x − 2) = 0 quadratic functions f(x) = x + x – 6
2
x = −3 atau / or x = 2 -6

(a) f(x) = x² – 6x + 9 f(x)

Nilai a = 1  0, graf berbentuk 9
The value of a = 1  0, the shape of graph is
Nilai c = 9, pintasan-y = 9
The value of c = 9, y-intercept = 9

Apabila / When f(x) = 0
x² – 6x + 9 = 0
(x – 3)(x − 3) = 0
x = 3 0 3 x

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