Basics of Polynomials

What is a constant for letters?

Is $8$ a polynomial?

Find the sum of two polynomials: $5x^3+3x^{2}y+4xy-6y^2, 3x^2+7x^{2}y-2xy+4x{y}^2-5$

Solve $3x^2 – 6x + x^3 – 18$

$p+27q^2$ is a binomial.

$p+2q^2+2$ is a binomial.

The value of $27{\mathrm{a}}^3-2\sqrt{2}{\mathrm{b}}^3$ is equal to:

Classify $x^3$ as Monomial / Binomial / Trinomial.

$a{x}^n+bx+c$ is a quadratic polynomial if $n=?$

Find the value of $k$, if $x=3$ is a root of the equation $k{x}^2-10x+3=0$.

Check whether the polynomial $r^2$ is a linear or quadratic or cubic polynomial?

State whether the polynomial $3t$ is a: Linear Polynomial / Quadratic Polynomial / Cubic Polynomial.

Write the degree of the polynomial $3$.

Write the degree of polynomial, $5t-\sqrt{7}$.

Check whether, $x^2+x$ is a linear, quadratic or a cubic polynomial?

Write the degree of the polynomial, $5x^3+4x^2+7x$.

Write the coefficient of $x^2$ in the expression, $2-x^2+x^3$.

Write the coefficient of $x^2$ in the expression $2+x^2+x$.