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:

$\frac{-10x^3-19x^2+6x^4+14+9x}{-2x^2+1}$

Required:

Divide by using the long division method.

Explanation:

Rearrange the expression in decreasing the power of the exponent.

$\frac{6x^4-10x^3-19x^2+9x+14}{-2x^2+1}$

Now divide by using the long division method.

So the quotient is

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

and the remainder is 4x+6.

Final Answer:

$\frac{6x^{4}-10x^{3}-19x^{2}+9x+14}{-2x^{2}+1}=-3x^2+5x+8+\frac{4x+6}{-2x^2+1}$