Question

if the product of two zeroes of polynomial f(x)=2x²+6x²-4x+9 is 3 then its third zero is

Answer 1

Answer:

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Step-by-step explanation:

Polynomial equation, f(x) = 2x³ +6x² -4x+9

Product of 2 zeroes = pq = 3

To find:

Third zero of the equation = r =?

Solution:

Condition to find zeros of polynomial, f(x) = 0.

f(x) = 2x³ +6x² -4x+9 = 0

Comparing the above equation with ax³ +bx² +cx+d = 0, we get,

a = 2, b = 6, c = -4, d = 9

Now,

pqr = -d/a

3r = -9/2

r = -9/6 = -3/2

r = -1.5

Third zero of the equation = r = -1.5