Matematika

Pertanyaan

faktorkanlah bentuk aljabar berikut ini:
1. 12ac-4bc+8cd
2. 4x²-1
3. x² -16x+64
4.x²-5x-14
5.x²+16x+64
6.2x²-12x-14

2 Jawaban

  • 1. 4c × (3a - b + ÷ 2d)
  • 1. 12ac -4bc +8cd = c (12a - 4b +8d)
    2. 4x² - 1 = (2x-1)(2x + 1)
    3. x² - 16x + 64 = x² - 8x - 8x +64 = (x² - 8x) + (-8x +64) = x(x-8) -8 (x-8) =(x-8)²
    5. x² + 16x + 64 = x² + 8x + 8x +64 = (x² + 8x) + (8x +64) = x(x+8) +8 (x+8)
    =(x+8)²
    4. x²-5x-14 = x²-7x+2x -14 = x(x-7) + 2(x-7) = (x+2)(x-7). 
    6. 2x² -12x - 14 = 2(x²-6x - 7) = 2(x-7)(x+1)

Pertanyaan Lainnya