1. Show by actual division that 2x+3 is a factor of f(X)=4x⁴+8x³+5x²+x-3
2. Using Reminder theorem, check whether 7+3x is a factor of 3x⁴+7 X.
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Answer:
2x+3)4x4+8x³+5x²+x-3(2x²+x²+x-1
4x4+6x³
(-)
2x³+5x²
2x³+3x²
(-)
2x²+x
2x²+3x
(-)
-2x-3
-2x-3
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