Question

If the product of two of the zeroes of polynomial 2x^3 -9x^2 +13x - 6 is 2, the third zero of the polynomial is:

I want Step By Step Explanation otherwise I will report your answer​

Answer 1

Step-by-step explanation:

let A,B,C be the roots

gn product of two of the zeroes of polynomial

is 2

LET AB = 2 ---(1)

sum

A+B+C = -(-9/2) = 9/2

l e t 2x^3 -9x^2 +13x - 6 b e = 0

i s I n f o r m o f ax³+bx²+cx+d = 0

a= 2; b = -9 c = 13 d = -6

product

ABC = 6/2

2C = 3

C = 3/2 -------(2)

the third zero of the polynomial is: 3/2