Question

2. Jawab: Fungsi kuadrat f(x) = 4x² - 8x + 3 diubah menjadi f(x) = a(x-p)(x-q). Tentukan nilai dari a+p+q!
pakai cara
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Answer 1

6

Penjelasan dengan langkah-langkah:

f(x) = 4x² - 8x + 3

= 4x - 6x - 2x + 3

= 2x(2x - 3) - 1(2x - 3)

= (2x - 1)(2x - 3)

= [2(x - 1/2)] x [2(x - 3/2)]

= 2 x 2(x - 1/2)(x - 3/2)

= 4(x - 1/2)(x - 3/2

a = 4, p = 1/2, q = 3/2

a + p + q = 4 + 1/2 + 3/2

= 4 + 4/2

= 6