SOLUTION: Find a fourth degree polynimial functionwith real coefficents that has -1,1and 3i as zeros, for simplicity let a=1(leading coefficent).Express the polynomial in standard form

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a fourth degree polynimial functionwith real coefficents that has -1,1and 3i as zeros, for simplicity let a=1(leading coefficent).Express the polynomial in standard form      Log On


   



Question 200009: Find a fourth degree polynimial functionwith real coefficents that has -1,1and 3i as zeros, for simplicity let a=1(leading coefficent).Express the polynomial in standard form
Answer by Alan3354(69443) About Me  (Show Source):
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Find a fourth degree polynimial functionwith real coefficents that has -1,1and 3i as zeros, for simplicity let a=1(leading coefficent).Express the polynomial in standard form
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The 4th zero will be -3i, they come in pairs.
It's (x-1)*(x+1)*(x+3i)*(x-3i) = 0