SOLUTION: how do you sketch the graph of a polynomial function that has 3 real zeros, and two imaginary zeros. Like how would you graph this polynomial function 3x^5-4x^4+2x^3-x^2-x-7. It ha
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-> SOLUTION: how do you sketch the graph of a polynomial function that has 3 real zeros, and two imaginary zeros. Like how would you graph this polynomial function 3x^5-4x^4+2x^3-x^2-x-7. It ha
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Question 993883: how do you sketch the graph of a polynomial function that has 3 real zeros, and two imaginary zeros. Like how would you graph this polynomial function 3x^5-4x^4+2x^3-x^2-x-7. It has 3 real zeros and 2 imaginary,but I don't know how to graph that.
You can put this solution on YOUR website! you have to find the roots.
the graph will cross or touch the x-axis at the real roots.
the graph will not cross or touch the x-axis at the imaginary roots.
if the root has an even multiplicity, the graph will touch the x-axis but not cross it.
if the root has an odd multiplicity,the graph will cross the x-axis.
in between the real roots, you just have to test selected points in order to be able to sketch the graph.
check this reference out as it explains how to sketch a graph and it also discusses even roots and odd roots.
the graph of your equation looks like this:
since it only crosses the x-axis once, it has only 1 real root.
the other 4 must be complex.
fyi - complex roots always come in pairs.
you can have 2 or 4, but you can't have 3.
here's a good reference that should help you understand better.
