find the answer of the given questions
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Answer:
g(x)=(x²-1)
Step-by-step explanation:
Given :
dividend=x⁴+4x³+5x²-7x-3
quotient=x²+4x+6
divisor=g(x)
reminder= -3x+3
To find : g(x)
dividend= divisor*quotient+reminder
x⁴+4x³+5x²-7x-3= g(x)*(x²+4x+6)+(-3x+3)
x⁴+4x³+5x²-7x-3-( -3x+3)=g(x)*(x²+4x+6)
x⁴+4x³+5x²-7x-3+3x-3=g(x)*(x²+4x+6)
x⁴+4x³+5x²-4x-6=g(x)*(x²+4x+6)
(x⁴+4x³+5x²-4x-6)/*(x²+4x+6)=g(x)
(x²-1)=g(x)
g(x)=(x²-1)
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