Question

Divide. If there is a remainder, express it in the form r x + 2 . ( x 3 − 4 x 2 − 4 x + 36 ) ÷ ( x + 2 )

Answer 1

Answer:

Quotient=$x^2-6x+8$

Remainder=$\frac{20}{x+2}$

Step-by-step explanation:

We are given that an expression

$\frac{x^3-4x^2-4x+36}{x+2}$

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=$x^3-4x^2-4x+36$

Divisor=$x+2$

Quotient: The polynomial which is obtained when the divisor divides the dividend.

Remainder: The polynomial which remains when the divisor divides the dividend.

Quotient=$x^2-6x+8$

Remainder=$\frac{20}{x+2}$