Question

$\text{What is the product of roots of the polynomial,}$ $p\left(x\right)=(x-1)(x-2)(x-3)\text{?}$

• A. 0.0
• B. 1
• C. 2
• D. 6

Answer 1

The correct option is D 6

We know that geometrically the zero of a polynomial is a point where it cuts the x-axis. We can also find the zeros of the polynomial by equating it to zero,
On equating the polynomial to zero, we get:
$(x-1)(x-2)(x-3)=0\Rightarrow x=1,x=2,x=3$
Hence, the product of roots of the polynomial p(x) $=1\times 2\times 3=6$