Question

How to factorize x³-5x²-4x-20=0

Answer 1

x 3 − 5 x 2 + 4 x − 20

Group the first two terms and the last two terms.

( x 3− 5 x 2 ) + 4 x − 20

Factor out the greatest common factor (GCF) from each group.

x 2 ( x − 5 ) + 4 ( x − 5 )

Factor the polynomial by factoring out the greatest common factor,   x − 5  .

( x − 5 ) ( x 2 + 4 )