Faktorkanlah! 1).3x^2+8x-3= 2).6x^2+x-2 per 9x^2-4= Pakai caranya!

Pemfaktoran

Nomor 1
3x² + 8x - 3

a = 3
b = 8
c = -3

X1,2 = -b ± √(b² - 4ac) / 2a
....... = -8 ± √(8² - 4.3.(-3) / 2.3
....... = -8 ± √(64 + 36) / 6
....... = -8 ± √100 / 6
....... = 2(-4 ± 5) / 6
....... = (-4 ± 5) / 3

X1 = (-4 + 5) / 3
X1 = ⅓

X2 = (-4 - 5) / 3
X2 = -3

maka
3x² + 8x - 3 → (x + 3)(3x - 1)

Nomor 2
cara seperti di atas ↓
= (6x² + x - 2) / (9x² - 4)
= (2x - 1)(3x + 2) / (3x + 2)(3x - 2)
= (2x + 1) / (3x - 2)

semoga berguna +_+

Factorize.

Number 1.
3x² + 8x - 3
= (3x² - x) + (9x - 3)
= x(3x - 1) + 3(3x - 1)
= (x + 3)(3x - 1)

Number 2.
(6x² + x - 2) / (9x² - 4)
= [(6x² - 3x) + (4x - 2)] / [(3x + 2)(3x - 2)]
= [3x(2x - 1) + 2(2x - 1)] / [(3x + 2)(3x - 2)]
= (3x + 2)(2x - 1) / [(3x + 2)(3x - 2)]
= (2x - 1) / (3x - 2)