Finding the remainding zeros of a polynomial function

Forums: Imaginary Zeros, Finding Zeros, Real Zeros, Functions, Polynomial
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Hey, I got some homework problems which I have to solve 'til tuesday (better monday). But I don't understand at all what I have to do. Maybe one of you guys could solve an example for me and explain how it works so I can do the rest. I'm gonna list a few examples from our book of what we have to do down here:
1. Find the remaining zeros of f(x)=x^4 -2x^3 +5x^2 +10x-50 when 1+3i is a zero
2. Determine all the zeros: f(x)= 2x^3 -3x^2 -4x+6
f(x)= x^3+2x^2 -5x-6

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@momo3007,

For the first one, 1 - 3i is also a zero.

Come up with a quadratic that has 1+3i and 1-3i as zeroes and that will be a quadratic factor of f.

For the second one, just guess one of the roots. Try all the divisors of 6.
(You may have to try fractions with small denominators.)

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Finding the remainding zeros of a polynomial function

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