Determining if the Expression is a Polynomial

A polynomial is a mathematical formula that involves the addition of powers in one or more variables, each multiplied by a specific coefficient. To ascertain if an expression falls into the category of a polynomial, ensure that it only encompasses constants, variables, positive integer exponents, alongside the operations of addition, subtraction, and multiplication. Expressions with division by a variable or those containing negative or decimal exponents are not deemed as polynomials.

The problems about Determining if the Expression is a Polynomial

Topic	Problem	Solution
None	$x^{2} - 13 x + 12$	Find the roots of the quadratic equation $x^{2} - 13 x + 12 = 0$ using the quadratic formula: \(x = …
None	$6 x^{2} - 5 x - 6$	Given the quadratic equation: $6 x^{2} - 5 x - 6 = 0$
None	$2 x^{2} - 5 x + 3$	This is a quadratic equation of the form $a x^{2} + b x + c$ .
None	$15 x^{4} + 12 x^{3} - 18 x$	$Factor out the greatest common factor$ $G C F (x, 15 x^{4}, 12 x^{3}, - 18 x)$
None	$15 m^{4} n^{4} + 6 m n^{3} + 3 m^{2} n^{2}$	$Factor out m \cdot n^{2} from the expression:$