Question

find the answer of the given questions​

Answer 1

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)