SOLUTION: information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f Degree 3; zeros: 5,-4i

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 Question 629147: information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f Degree 3; zeros: 5,-4iAnswer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website!The degree of a polynomials tells you how many zeros there are. So f(x) has three zeros. You were only given 2 zeros so one is missing. If a polynomial with real coefficients has a complex zero, then the complex conjugate of that zero will also be a zero. A complex number in standard form is: a + bi The complex conjugate of this is: a - bi or a + (-bi) f(x) has a complex zero: -4i. So the complex conjugate of -4i will be our missing zero. -4i in standard form is: 0 + (-4i) Its complex conjugate will be: 0 - (-4i) or 0 + 4i or just 4i So the only zero that you were not given was 4i.