algebra
posted by bailey
Factor this polynomial:
F(x)=x^3x^24x+4
Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).
The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at
x = 1, x = 2 and x = 2. This means that
x^3x^24x+4 = A(x  1)(x  2)(x + 2)
A = 1, as you can see from equation the coefficient of x^3 on both sides.
Typo:
The rational roots can be
+/1, +/2 and +/4
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