Question

given the binomials (x-2),(x-1),(x+2) and (x-4), which one is a factor of f(x)=x^3+7x^2+14x+8

Answer 1

if its a factor, then they both zero out

Answer 2

f(x) = (x-r)(other stuff)

f(r) = 0

Answer 3

ok i got (x-4) i wasnt sure if i was right or wrong @amistre64

Answer 4

if f(4) = 0, its good :) since 4-4 = 0

Answer 5

4^3+7(4)^2+14(4)+8

got a whole bunch of positives, so i dont think that gets anywhere close to zero; gonna need a negative root at best

Answer 6

so (x+2)

Answer 7

yeah, since x+2 is the only negative root; -2+2 = 0, thats the only one id see that would stand a chance

Answer 8

that would work right?

Answer 9

ok thnx !

Answer 10

youre welcome