The polynomial equation with zeroes 2i, -2i, 2 is
<h3><u>Solution:</u></h3>
Given that zeros of polynomial are 2i, -2i, 2
<em><u>To find: polynomial equation in standard form</u></em>
zeros of polynomial are 2i, -2i, 2. So we can say,
x = 2i
x = -2i
x = 2
Or x - 2i = 0 and x + 2i = 0 and x - 2 = 0
Multiplying the above factors, we get the polynomial equation
------- eqn 1
Using a algebraic identity,
Thus
We know that
Substitute the above value in eqn 1
Multiply each term in first bracket with each term in second bracket
Thus the required equation of polynomial is found