Question

Factor completely 4x5 − 20x4 − 36x3. (1 point)

Answer 1

Answer: 4x^3(x^2 - 5x - 9)

Proof of validity is shown below.

Answer 2

The factored form of given polynomial is
`x^3(4x^2-5x-9)`

Explanation:

Given the polynomial
`4x^5 - 20x^4 - 36x^3`

We have to factor the above polynomial completely.

`4x^5 - 20x^4 - 36x^3`

Take
`x^3` common from each term.

`x^3(4x^2-5x-9)`

Here, the quadratic polynomial is prime i.e it cannot be factored into lower degree polynomial. It has complex roots.

Hence, the factored form of given polynomial is
`x^3(4x^2-5x-9)`