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Make a sketch of a fourth degree polynomial function with two complex roots and two real roots​

User Avigil
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1 Answer

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I cannot really graph it but I will try my best to explain.

When you have a coordinate plane draw from right to left, up to down.

Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots

Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.

This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.

User Tvanc
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