SOLUTION: what binomial of lowest degree must be multiplied to x3-3x2-9x-5 to make it a polynomial with perfect root?

Question 703190: what binomial of lowest degree must be multiplied to x3-3x2-9x-5 to make it a polynomial with perfect root?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The possible rational roots for are 1, -1, 5, and -5.
,
so is a root of and
has as a factor.
Using division (long or synthetic) you find that

Factoring further, since , you find that

So, multiplying times , you would get the perfect square

NOTE: I do not like to divide polynomials, so I factor by grouping, like this:

(It's also too difficult for me to get terms/coefficients to line up when typing stuff into this website).

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