The zero of the linear polynomial $p(x) = 3x - 6$ is $\ldots$

If $p(x) = x^{3} - 3x^{2} - x + 3$ is divided by $x - 1$,then the remainder is .............

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

If the remainder on division of $x^{3}+2 x^{2}+k x+3$ by $x-3$ is $21$,find the quotient and the value of $k$. Hence,find the zeroes of the cubic polynomial $x^{3}+2 x^{2}+k x-18$.

Prove that $1/2, 1$ and $-2$ are the zeros of the cubic polynomial $p(x) = 2x^3 + x^2 - 5x + 2$. Also,verify the relationship between the zeros and the coefficients.

The product of two polynomials is $x^{2}-x-72$ and if one of the polynomials is $(x+8)$,then the other polynomial is $\ldots \ldots \ldots \ldots . .$