need help with polynomial

find all zeros of the polynomial
f(x)=x^3-x^2-x+10

Hi sherrirbullock,

Your function only has 1 real zero. The other two are imaginary. You can find the real zero by graphing or testing some rational values to see if any work. Are you familiar with the rational roots theorem? In this case, test all the positive and negative factors of your constant 10. You'll find only 1 value that makes f(x) = 0.

The factors of 10 are +/- 1, +/- 2, +/- 5, and +/- 10

Once you've found this zero, (we'll call it "a"), you can divide the original cubic polynomial by (x - a) to determine the depressed polynomial which is quadratic. Now, simply use the quadratic formula to find the two remaining complex roots.
 
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