Find a quadratic polynomial,the sum and product of whose zeroes are $-3$ and $2,$ respectively.

(A) Let the quadratic polynomial be $p(x) = ax^2 + bx + c,$ and its zeroes be $\alpha$ and $\beta$.
The relationship between the zeroes and coefficients of a quadratic polynomial is given by:
Sum of zeroes: $\alpha + \beta = -\frac{b}{a} = -3$
Product of zeroes: $\alpha \beta = \frac{c}{a} = 2$
If we assume $a = 1$,then:
$-b = -3 \implies b = 3$
$c = 2$
Substituting these values into the standard form $ax^2 + bx + c$,we get the polynomial $x^2 + 3x + 2$.
Thus,the required quadratic polynomial is $x^2 + 3x + 2$.