How many x-intercepts appear on the graph of this polynomial function? f (x) = x Superscript 4 Baseline minus x cubed + x squared minus x
1 x-intercept
2 x-intercepts
3 x-intercepts
4 x-intercepts

 2

Step-by-step explanation:

x⁴ - x³ + x² - x

Factor to find the zeros:

   x³(x - 1) + x(x - 1)

= (x³ + x)(x - 1)

= x(x² + 1)(x - 1)

Zeros are: x = 0,   x = ±i,   x = 1

There are two real zeros and two imaginary zeros.

The x-intercepts are the two real zeros: at x = 0 and x = 1

answer

false

explanation

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