Calculate the quotient of the polynomial $$ 4x^4 - 8x^3 + 6x^2 $$ divided by $$ 2x^2 $$.

Question

UpStudy AI · Accepted Answer

To find the quotient of the polynomial $$ 4x^4 - 8x^3 + 6x^2 $$ divided by $$ 2x^2 $$, you can divide each term of the polynomial by $$ 2x^2 $$:

$$
\frac{4x^4}{2x^2} = 2x^2
$$
$$
\frac{-8x^3}{2x^2} = -4x
$$
$$
\frac{6x^2}{2x^2} = 3
$$

Putting it all together, the quotient is:

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

**Answer:** After simplifying, the quotient is $$2\,x^{2} - 4\,x + 3$$.
The quotient is $$2x^2 - 4x + 3$$.

Calculate the quotient of the polynomial \( 4x^4 - 8x^3 + 6x^2 \) divided by \( 2x^2 \).