Any polynomial math problem could requires multiplying variables with exponents. The most common math subject that requires multiplying polynomials with exponents is factorization. It is important to identify what the question is really asking before assuming it is a polynomial question. Polynomials are any math equation with more than one variable, even if the variables are represented by the same letter.
Depending on the level of math being studied, there may be math problems that require dealing with polynomial problems. Algebra one and two, geometry and trigonometry frequently require managing polynomial equations.
Polynomial equations are often written out in standard form for homework and even on tests. However, even word problems can be used to create polynomial equations to simplify. When multiplying variables that have an exponent, if the variables are the same, the exponents are added together. If there are constants with the variables, those are multiplied together, and the exponents are then added together.
For example, imagine a cube has a side length of x + 1. Calculate the cube's volume in terms of the side.
Volume = (x + 1)(x + 1)(x + 1)= x³ + 3x² + 3x + 1 cubic units. Another example is: y2 y3 = y2 + y3 = y5. An example of factoring is: 3x(x^3 - 9x + 2) = 3x^4 - 27x^2 + 6x.