Question

What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

Answer 1

Answer:

The quotient is $2x^2-5x+2$

Step-by-step explanation:

We want to simplify:

$\frac{6x^4-15x^3+10x^2-10x+4}{3x^2+2}$

We factor the numerator to get:

$\frac{(x-2)(2x-1)(3x^2+2)}{3x^2+2}$

We cancel out the common factors to get:

$(x-2)(2x-1)$

Therefore the quotient is $2x^2-5x+2$