Question

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

2x + 6

2x − 6

2x + 4

2x − 4, r = 1

Answer 1

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

Explanation:

We want to simplify:

`(6x^4-15x^3+10x^2-10x+4)/(3x^2+2)`

We factor the numerator to get:

`((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`