Question

Let f(x) = 12x5 − 36x4 − 6x3 and g(x) = 3x2. Find f of x over g of x.

4x2 + 12x + 2
4x2 − 12x − 2
4x3 + 12x2 + 2x
4x3 − 12x2 − 2x

Answer 1

Answer: 4x^3-12x^2-2x

Explanation:

Given:

Explanation:

Answer 2

`4x^3-12x^2-2x`

Explanation:

Given:

`f(x)= 12x^5-36x^4-6x^3`

`g(x)=3x^2`

We need to find
`(f(x))/(g(x))` .

Solution:

We have attached the division for your reference.

Step 1:

Now here Dividend is
`12x^5-36x^4-6x^3` and Divisor is
`3x^2` so we will multiply the Divisor with
`4x^3` we will get the answer as
`12x^5` so from dividend
`12x^5` will get subtracted and the remainder will be
`-36x^4-6x^3` and the Quotient will be
`4x^3`.

Step 2:

Now the Dividend is
`-36x^4-6x^3` and Divisor is
`3x^2` so we will multiply the Divisor with
`-12x^2` we will get the answer as
`-36x^2` so from dividend
`-36x^2`will get subtracted and the remainder will be
`-6x^3` and the Quotient will be
`4x^3-12x^2`

Step 3:

Now the Dividend is
`-6x^3` and Divisor is
`3x^2` so we will multiply the Divisor with
`-2x` we will get the answer as so
`-6x^3` from dividend
`-36x^2`will get subtracted and the remainder will be 0 and the Quotient will be
`4x^3-12x^2-2x`

Hence
`(f(x))/(g(x)) =4x^3-12x^2-2x`.