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
$x^{2}-8 x+15$
Given expression $x^{2}-8 x+15$ is a polynomial because the exponent of variable $x$ in each of its terms is an integer, viz., $2 , 1$ and $0$ respectively. The given polynomial is a polynomial, in one variable $x$.
For polynomial $p(x)=x^{3}-3 x^{2}+8 x+12$, $p(-1)=\ldots \ldots \ldots$
Factorise
$12 x^{3}+17 x^{2}+3 x-2$
The value of the polynomial $5 x-4 x^{2}+3,$ when $x=-1$ is
Write the degree of each of the following polynomials
$8 x^{5}+3 x^{2}-4 x+7$
Classify the following as linear, quadratic or cubic polynomial
$35 x^{2}-16 x-12$