Question

factor f(x) into linear factors given that k is a zero of f(x)..
f(x): [x ^4+3x ^3-30x ^2-124x-120; k = -2

Answer 1

since you know -2 is a zero it must factor as
\[(x+2)(\text{ something})\] and you can find the something by division

Answer 2

in fact, -2 is a zero with multiplicity 2, and it factors as
\[(x-6) (x+2)^2 (x+5)\]

Answer 3

thank-you !!