2x^4+5x^3+7x^2-x+41 if x=-2-√3i
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Step-by-step explanation:
2x⁴+5x³+7x²-x+41
x=-2-√3i
x+2=-√3i
x²+4+4x=-3
x²+7=-4x
x⁴+49+14x=16x²
2x⁴+28x+98=32x²
x⁴+7x²+4x³=0. =>2x⁴+8x³+14x²=0
2x⁴+5x³+7x²-x+41
8x³-14x²+5x³+7x²-x+41
-3x³-7x²-x+41
-3x³-21x=12x² =>12x²+21x+7x²-x+41
=>5x²+20x+41
=>5(x²+4x)+41
-35+41=6
2x⁴+5x³+7x²-x+41=6
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