Factor the polynomial function to determine the x intercepts and the y intercept - y = x^5 - 21x^3 + 80x
Enter the x intercepts in order from smallest to largest, then the y intercept.
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Given that, `y = x^5 - 21x^3 + 80x`
For obtaining x-intercept, put y=0.
`rArr x=0,4,-4,sqrt5, and (–sqrt5).`
Arranging from smallest to largest,
`x=-4, (-sqrt5), 0, sqrt5, and 4.`
For obtaining y-intercept, put x=0.
Therefore, the x intercepts are` -4, (-sqrt5), 0, sqrt5, and 4` , and the y intercept is `0` .
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