Question

3. Find the quadratic polynomial where sum and product of the zeros are a and 1/a .

Answer 1

Step-by-step explanation:

Given:

Sum of zeros = a

Product of zeros = $\frac{1}{a}$

Required quadratic polynomial is given as:

$x^2 - (sum\: of\: zeros)x+product \: of\: zeros\\</p><p>= x^2 - (a)x+\frac{1}{a} \\</p><p>=ax^2 - a^2 x+1$