Apply division algorithm for your answer
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Answer:
Step-by-step explanation:
Dividend = f(x)
Divisor = g(x)
Quotient = 5x²-9x-2
Remainder = 53x-103
Division Algorithm,
Dividend = Divisor × Quotient + Remainder
10x⁴+17x³-62x²+30x-105 = [(2x²+7x+1)(5x²-9x-2)]+53x-103
=(10x⁴-18x³-4x²+35x³-63x²-14x+5x²-9x-2)+53x-103
=(10x⁴-18x³+35x³-4x²-63x²+5x²-14x-9x-2)+53x-103
=(10x⁴+17x³-62x²-23x-2)+53x-103
=10x⁴+17x³-62x²-23x+53x-2-103
=10x⁴+17x³-62x²+30x-105
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