Question

the polynomial p(x) = x^3-1 intersects x-axis at : one point , two point , three point or more then three points​

Answer 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.