Find the quotient. justify your answer. x^5+2x^4-7x^2-19x+15/x^2+2x+5

Step-by-step explanation:

To find the quotient we need to apply long division on , as follows:

Divide the leading coefficients of the numerator and the divisor

Quotient =

Multiply by =

Subtract from to get new remainder

Remainder =

Therefore

      2. Divide

Divide the leading coefficients of the numerator and the divisor

Quotient =

Multiply by =

Subtract from to get new remainder

Remainder =

Therefore

     3. Divide

Divide the leading coefficients of the numerator and the divisor

Quotient = 3

Multiply by 3 =

Subtract from to get new remainder

Remainder = 0

Therefore