If $49 x^{2}-b=\left(7 x+\frac{1}{2}\right)\left(7 x-\frac{1}{2}\right),$ then the value of $b$ is

Factorise $: 8 x^{3}+y^{3}-27 z^{3}+18 x y z$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+1$

Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not

$x^{3}+3 x^{2} y+3 x y^{2}+y^{3}$

Write whether the statement are True or False. Justify your answer.

Every polynomial is a binomial