1. Nilai A+B yang memenuhi kesamaan (Ax+B)(x-3) = 4x²-11x-3 2. Nilai A.B agar memnuhi kesamaan (x+5)(Ax+B) = 2x²+7x-15

Mapel : Matematika
Tingkat : Olimpiade
Bab : Persamaan Kuadrat

Pembahasan :
1.

(Ax + B)(x - 3) = 4x² - 11x - 3
(Ax + B) = (4x² - 11x - 3)/(x - 3)
(Ax + B) = (4x + 1)(x - 3)/(x - 3)
(Ax + B) = 4x + 1

A = 4
B = 1

A + B = 4 + 1 = 5

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2.

(x + 5)(Ax + B) = 2x² + 7x - 15
(Ax + B) = (2x² + 7x - 15)/(x + 5)
(Ax + B) = (2x - 3)(x + 5)/(x + 5)
(Ax + B) = 2x - 3

A = 2
B = -3

A . B = 2 . (-3) = -6

Bab Aljabar
Matematika SMP Kelas VII

1] (Ax + B) (x - 3) = 4x² - 11x - 3 
Ax² - 3AX + BX - B3 = 4x² - 11x - 3

3B = 3
B = 1
A = 4

A + B = 4 + 1 = 5

2] (x + 5) (Ax + B) = 2x² + 7x - 15
Ax² + Bx +5Ax + 5B = 2x² + 7x - 15

5B = - 15
B = -3
A = 2

A . B = 2 . (-3)
         = -6