If $x^{51} + 51$ is divided by $x + 1$,the remainder is

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 6$.

Expand $(3x + 7)(-3x + 7)$.

Write the following cube in expanded form:
$(2a - 5b)^3$

Find the value of the following polynomial at the indicated value of the variable:
$q(y) = 5y^3 - 4y^2 + 14y - \sqrt{3}$ at $y = 2$

Find the zero of the polynomial $p(x)=5 x-8$.