Resolve in to factors : x^4– 6x^3+ 8x^2+ 3x – 6.
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Answer:
Your Answer Is (x-1) (x-2) (x²-3x-3).
Step-by-step explanation:
= x⁴– 6x³+ 8x²+ 3x – 6.
= x⁴- x³-5x³ + 5x² + 3x² - 3x + 6x - 6
= x³ (x-1) -5x²(x-1)+3x (x-1)+6(x-1)
= (x-1) (x³-5x²+3x+6)
= (x-1) (x³-2x²-3x²+6x-3x+6)
= (x-1) {x² (x-2)-3x (x-2)-3 (x-2)}
=(x-1) (x-2) (x²-3x-3)
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