Question 1059324: Find the zeroes of the function and write the polynomial as a product of linear factors. f(x)=x^3+4x^2+2x-28
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Possible roots to check are -28, -14, -7, -1, -2, 1, 2, 7, 14, 28.
Each time a root is found (remainder in synthetic division is 0), fewer roots need to be checked. Refer to Rational Roots Theorem and Factor Theorem. Try the smaller sized roots first. Begin checking for 2 as a root. The resulting quadratic factor will probably have complex non-real roots.
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