Jawaban:
D. 3x² - 13x² + 8x - 12
Penjelasan dengan langkah-langkah:
f(x) = (x-2)(3x+2)(x-3)
= (x-2)(3x+2)
= (x . 3x) + (x . 2) + (-2 . 3x) + (-2 . 2)
= 3x² + 2x - 6x - 4
= 3x² - 4x - 4(x - 3)
= (3x² . x) + (-4x . x) + (-4 . x) + (3x² . -3) + (-4x . -3) + (-4 . -3)
= 3x³ - 4x² - 4x - 9x² + 12x - 12
= 3x³ - 13x² + 8x - 12 (D)
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Jawaban:
D. 3x² - 13x² + 8x - 12
Penjelasan dengan langkah-langkah:
f(x) = (x-2)(3x+2)(x-3)
= (x-2)(3x+2)
= (x . 3x) + (x . 2) + (-2 . 3x) + (-2 . 2)
= 3x² + 2x - 6x - 4
= 3x² - 4x - 4(x - 3)
= (3x² . x) + (-4x . x) + (-4 . x) + (3x² . -3) + (-4x . -3) + (-4 . -3)
= 3x³ - 4x² - 4x - 9x² + 12x - 12
= 3x³ - 13x² + 8x - 12 (D)
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