Question

The cubic polynomial $p\left(a\right)=a^3-a$ has ... real zeros

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

Answer: (D)

$3$

Given polynomial is $a^3-a$

$\Rightarrow a(a^2-1)$

$\Rightarrow a(a-1)(a+1)$

$\therefore a=0,1,-1$

$\therefore P\left(a\right)$ has $3$ real zeroes