Question

Question #a62eb

Answer 1

`5x^4 - 5x^3 - 10x^2`

Explanation:

Create the factors that make the equation = `0`
`(x-2)(x+1) = x^2 - x - 2 = 0`

To get the leading term to `= 5x^4`, multiply the factors by `5x^2` since we already have an `x^2`, remembering that `x^m x^n = x^(m+n)`:

`5x^2(x-2)(x+1) = 5x^2 (x^2 - x - 2 ) = 5x^4 - 5x^3 - 10x^2`