Question

if alpha ,beta ,gamma are the zeros of the polynomial 2x^3 + x^2 - 13x + 6 then alpha•beta• gamma=.......

Answer 1

Answer:

$\alpha \cdot \beta \cdot \gamma \\= \green {-3}$

Step-by-step explanation:

$\alpha ,\:\beta \:and \: \gamma \:are \: the \\zeros \:of \: the \: polynomial \\2x^{3}+x^{2}-13x+6$

/* Compare above polynomial by ax³+bx²+cx+d ,we get

$a = 2 , b = 1 , c = -13 , d = 6$

$\alpha \cdot \beta \cdot \gamma \\= \frac{-d}{a}\\= \frac{-6}{2} \\= \green {-3}$

Therefore.,

$\alpha \cdot \beta \cdot \gamma \\= \green {-3}$

•••♪

Answer 2

Answer:

-3 is the right answer. Thank you