the polynomial p(x) = x^3-1 intersects x-axis at : one point , two point , three point or more then three points
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1
Answer:
Correct option is
B
1
f(x)=x
3
−1
it intersect x-axis if
f (x) = 0
x
3
−1= 0
(x−1)(x
2
+x+1)=0
⇒(x−1)=0 or (x
2
+x+1)=0
⇒x=1 because (x
2
+x+1)=0 has no real roots.
∴ it intersect at x-axis at only one point x=1.
Option B is correct.
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