Question

Factor the polynomial: – x3 - 4x2 - 5x

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O A. -*(x + 4x - 5)
B. x(x2 + 4x + 5)
O c. -(x2 + 4x+5)
O D. - x-x - 4x - 5)
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Answer 1

`-x3-4x2-5x=-x(x^2+4x+5)`

Explanation:

we are given the polynomial as

`-x3-4x2-5x`

here we can see that the GCF of
`-x^3` ,
`-4x^2` and
`-5x` is

`-x`

Hence we take it outside the bracket

`-x(x^2+4x+5)`

The polynomial within the bracket
`x^2+4x+5` can not be factorized further , hence this would be our final answer.