Question

Find the polynomial who's zeroes are root 3/2 and root -3/2

Answer 1

As we know, for a polynomial with zeroes α and β,

$p(x) = x^{2} - (\alpha +\beta)x + \alpha \beta$

Thus, if zeroes are 3/2 and -3/2,

$p(x) = x^{2} - (0)x + (-9/4)$, or,

$p(x) = x^{2} - 9/4$

P.S. Mark this as the brainliest : )