Answer:
The quotient is [tex]2x^2-5x+2[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\frac{6x^4-15x^3+10x^2-10x+4}{3x^2+2}[/tex]
We factor the numerator to get:
[tex]\frac{(x-2)(2x-1)(3x^2+2)}{3x^2+2}[/tex]
We cancel out the common factors to get:
[tex](x-2)(2x-1)[/tex]
Therefore the quotient is [tex]2x^2-5x+2[/tex]
