Question

For the polynomial function $f\left(x\right)=(1-x^2)(x-1)$, the degree is:

• A. $-3$
• B. $3$
• C. $4$
• D. $2$

Answer 1

The correct option is B $3$

Given that $f\left(x\right)=(1-x^2)(x-1)$
$\Rightarrow f\left(x\right)=-x^3+x^2+x-1$
Since, here the highest power of $x$ is $3$,
$\therefore$ Degree of the polynomial function is $3.$