if the product of two of the zeroes of the polynomial 2x³-9x²+13x-6 is 2, the third zero of the polynomial is :-

Question

if the product of two of the zeroes of the
polynomial 2x3-9x2+13x-6 is 2, the third zero
of the polynomial is :-

Ajanta Trivedi · Accepted Answer

the given cubic polynomial is: $p (x) = 2 x^{3} - 9 x^{2} + 13 x - 6$

product of its zeroes = $- \frac{c o n s \tan t t e r m}{c o e f f i c i e n t o f x^{2}}$

let the third zero be a.

$2 * a = - (- \frac{6}{2}) = 3 a = \frac{3}{2}$

thus the third zero is 3/2.

hope this helps you

cheers!!

if the product of two of the zeroes of the polynomial 2x3-9x2+13x-6 is 2, the third zero of the polynomial is :-