Question

find the value of K if (X-2) is factor of polynomial p(x)=2x³-6x²+5x+K​

Answer 1

If the product of two zeroes of the polynomial f(x) = 2x³ +6x² -4x+9 is 3, then how do you find its third zero?

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Given:

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

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