Question

If a and b are the zeroes of the polynomial 6y² - 7y + 2, find a quadratic polynomial whose zeroes are 1/a and 1/b

Answer 1

On solving the polynomial we get the zeros,
y=1/2 or 2/3
so 1/a and 1/b =2 and 3/2
so the polynomial ---
$2 {x }^{2} - 2x + 3$