Question

14. Use long division to divide.-10x³ - 19x² + 6x² +14+ 9x-2x² +1Write your answer in the following form:Quotient +Remainder-2x² + 1

Answer 1

Given:

The expression is:

`(-10x^3-19x^2+6x^4+14+9x)/(-2x^2+1)`

Required:

Divide by using the long division method.

Step-by-step explanation:

Rearrange the expression in decreasing the power of the exponent.

`(6x^4-10x^3-19x^2+9x+14)/(-2x^2+1)`

Now divide by using the long division method.

So the quotient is

`-3x^2+5x+8`

and the remainder is 4x+6.

Final Answer:

`(6x^(4)-10x^(3)-19x^(2)+9x+14)/(-2x^(2)+1)=-3x^2+5x+8+(4x+6)/(-2x^2+1)`