Question

What is the product of the zeroes of x3 -
4x2+x -6.

Answer 1

Answer:

$\large\bold\red{6}$

Step-by-step explanation:

Given,

${x}^{3} - 4 {x}^{2} + x - 6$

Clearly,

it is a cubic Polynomial.

Let,

the zeroes of this cubic Polynomial be

$\alpha \: \: \: \beta \: \: \: and \: \: \: \gamma$

Now,

we kbow that,

Product of roots of cubic Polynomial is given by

$\large\bold{ - \frac{constant \: \: term}{coefficient \: of \: {x}^{3} }}$

Therefore,

After observing the given polynomial,

we get,

$\alpha \beta \gamma = - \frac{( - 6)}{1} = - ( - 6) = 6$

Hence,

Product of roots is 6