Determine the number of times the graph of each of the following polynomials crosses the positive x-axis and the negative axis.

Question

<!--[if !supportLists]-->A.   <!--[endif]-->Determine the number of times the graph of each of the following polynomials crosses the positive x-axis and the negative axis. 

 

<!--[if !supportLists]-->1.    <!--[endif]-->y = 3x² – 4x + 6

<!--[if !supportLists]-->2.    <!--[endif]-->y = 5x⁵ + 3x² + x -10

<!--[if !supportLists]-->3.    <!--[endif]-->y = x⁴ – 4x³ – 3x² + x + 2

<!--[if !supportLists]-->4.    <!--[endif]-->y = (x – 2) (x³  + 2x² – x + 5)

<!--[if !supportLists]-->5.    <!--[endif]-->y = 8 – x³ + x + 3x²

Answer 1

1) 0 times

2) 1 times

3) 2 times

4) 2 times

5) 1 times