Posted by Sharday on Saturday, June 8, 2013 at 10:29pm.
Use the rational zero theorem to list all possible rational zeros for the given function
f(x)=x^34x^219x14

algebra  Anonymous, Saturday, June 8, 2013 at 10:55pm
2, 1, 7

algebra  Reiny, Saturday, June 8, 2013 at 11:09pm
try x = ±1, ±2, and ± 7
f(1) = 1  4  19  14 ≠ 0
f(1) = 1  4 + 19  14 = 0
ahhh, so (x+1) is a factor
using algebraic division
x^34x^219x14 = 0
(x+1)(x+2)(x7) = 0
so x = 1, 2 or 7
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