# Answer to Question #5126 in Abstract Algebra for Bailey

Question #5126

A polynomial function P(x) has degree n. the graph in the standard (x,y) coordinate plane of y = P(x) contains exactly 3 points on the x-axis. Which of the following could NOT be the value of n?

6, 5, 4, 3, 2

6, 5, 4, 3, 2

Expert's answer

<img style="width: 433px; height: 294px;" src="../../..//assignments/uploaded_files/static/f6/54/f6540069e16667c0d30f5b2628fbfadf.png" title="" alt="">

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As the graph has 3 points of intersection with the x-axis, that's why 2 could

not be the degree

of the polinomial (parabola can have no more than 2 points

of intersection). Numbers 6, 5, 4

and 3 can be a degree of the polinomial.

<img src="http:///" title="" alt="">

As the graph has 3 points of intersection with the x-axis, that's why 2 could

not be the degree

of the polinomial (parabola can have no more than 2 points

of intersection). Numbers 6, 5, 4

and 3 can be a degree of the polinomial.

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