Answer:
Quotient=[tex]x^2-6x+8[/tex]
Remainder=[tex]\frac{20}{x+2}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{x^3-4x^2-4x+36}{x+2}[/tex]
We have to divide and express remainder in the form rx+2.
We have
Divisor: The polynomial which divides the dividend polynomial.
Dividend: The polynomial which is divided by the divisor.
Dividend=[tex]x^3-4x^2-4x+36[/tex]
Divisor=[tex]x+2[/tex]
Quotient: The polynomial which is obtained when the divisor divides the dividend.
Remainder: The polynomial which remains when the divisor divides the dividend.
Quotient=[tex]x^2-6x+8[/tex]
Remainder=[tex]\frac{20}{x+2}[/tex]
