The sum of the zeros of a quadratic polynomial $p(x) = x^{2} + 3x + 2$ is ...........

Find the zeros of the following quadratic polynomial: $5x^2 + 8x + 3$.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$t^{3}-2 t^{2}-15 t$

Are the following statements 'True' or 'False'? Justify your answers.
If the zeroes of a quadratic polynomial $ax^2 + bx + c$ are both positive,then $a, b$ and $c$ all have the same sign.

Find a quadratic polynomial,each with the given numbers as the sum and product of its zeroes respectively: $1, 1$.

Find a quadratic polynomial,the sum and product of whose zeroes are $\sqrt{2}$ and $-\frac{3}{2},$ respectively. Also,find its zeroes.