$p(x) = 3x^2 + 7x + 4$ is a $\dots$ polynomial.

Obtain the sum and the product of the zeros of the following quadratic polynomial without finding the zeros: $x^{2}-7x+10$.

Is the following statement True or False? Justify your answer. If the zeroes of a quadratic polynomial $ax^2 + bx + c$ are both negative,then $a, b,$ and $c$ all have the same sign.

If two zeros of the polynomial $p(x) = x^3 + x^2 - 5x - 5$ are $\sqrt{5}$ and $-\sqrt{5}$,then the third zero is . . . . . . .

Factorize the following polynomial: $p(x) = 25x^2 - 40x + 16$.

If $\alpha, \beta$,and $\gamma$ are the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ where $a \neq 0$,then the product of its zeros $(\alpha \beta \gamma)$ is: