The total profit expression is a polynomial
The total profit expression is a binomial
The total profit expression has a constant term
The first step to determining which type of function it is, is to add the profits in both theatres together
(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400
A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.
<u><em>Types of polynomials include : </em></u>
1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.
An example is x + 2
The variable x is raised to the power of 1. 2 is the constant terms
2. Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.
An example is 2x² + 10x + 25
3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.
An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms.
An example is t³ - 400
The above equation of the total profit has a constant term which is -400
The above equation is a polynomial. This is because it has different types of variables.
The above equation is a binomial equation because it has only two terms t³ and 400
In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.
