Question

How many x intercepts appear on the graph of this polynomial function f(x)=x4-x3+x2-x

Answer 1

$f(x)=x^4-x^3+x^2-x\\\\x^4-x^3+x^2-x=0\\\\x^3(x-1)+x(x-1)=0\\\\(x-1)(x^3+x)=0\\\\x(x-1)(x^2+1)=0\iff x=0\ \vee\ x-1=0\ \vee\ x^2+1=0\\\\x=0\ \vee\ x=1$

Answer: 2 x-intercepts.

Answer 2

Answer:

B: 2 x-intercepts

Step-by-step explanation:

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