Answer :
The quotient of the division is x^3 - 3x^2 - 10x + 64
How to determine the quotient
From the question, we have the following parameters that can be used in our computation:
quotient of (x^4-6x^3-19x^2+24x) divided by (x+3)
Using the long division method of quotient, we have
x + 3 | x^4 -6x^3 -19x^2 +24x
The division steps are as follows
x^3 - 3x^2 - 10x + 64
x + 3 | x^4 -6x^3 -19x^2 +24x
x^4 + 3x^3
------------------------------------------------
-3x^3 -19x^2 +24x
-3x^3 - 9x^2
------------------------------------------------
-10x^2 + 24x
-10x^2 - 30x
------------------------------------------------
64x
64x + 192
----------------------------------------------------
-192
Hence, the quotient is x^3 - 3x^2 - 10x + 64
Read more about long division at
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