Question

The above picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Based on the above information, answer the following questions.

The product of zeroes of a cubic polynomial $x^3-3x^2-x+5$ is ________.

• A. 5
• B. -5
• C. 3
• D. -3

Answer 1

The correct option is B -5

If $\alpha$, $\beta$ and $\gamma$ are the the zeroes of a cubic polynomial $a{x}^3+b{x}^2+cx+d$ ,
then
$\alpha$$\beta$$\gamma$ $=\frac{-d}{a}$
Given polynomial: $x^3-3x^2-x+5$
Here, $a=1,b=-3,c=-1,d=5$
$\therefore$ Product of zeroes is $\frac{-d}{a}=\frac{-5}{1}=-5.$