Factoring using polynomial division: missing term | Algebra 2 | Khan Academy

If we know one linear factor of a higher degree polynomial, we can use polynomial division to find other factors of the polynomial. For example, we can use the fact that (x+6) is a factor of (x³+9x²-108) in order to completely factor the polynomial. We just need to be careful because the polynomial has no x-term.

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[viktornoikristinsson]

(x-3)(x+6)^2 If you simplify it even further