For the polynomial $p(x),$ if $p(7)=0,$ then .......... is a factor of $p(x)$.
Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not
$\pi x^{2}-\sqrt{3} x+11$
State whether each of the following statements is true or false
$x^{2}-5 x+4$ is a linear polynomial.
If $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ is divided by $(x+1),$ then the remainder is $19 .$ Find the value of a. Also, find the remainder, when $p(x)$ is divided by $(x+2)$
Factorise
$x^{3}-11 x^{2}+20 x+32$