SOLUTION: Construct a polynomial with the following properties: third degree, real coefficients, y-intercept is -52, zeros are -1, and 5+i.

SOLUTION: Construct a polynomial with the following properties: third degree, real coefficients, y-intercept is -52, zeros are -1, and 5+i.

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Question 915235: Construct a polynomial with the following properties: third degree, real coefficients, y-intercept is -52, zeros are -1, and 5+i.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
A polynomial with real coefficients has roots that are complex conjugates pairs.
So then,

Then, when ,

.
.
.

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