Select all the correct answers: *PLEASE HELP* Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t^3 - t^2 + 2t - 100, where t is the number of tickets sold. The profits from the second theater can be represented by the expression t^2 - 2t - 300. Which statements are true about the expression representing Cineplex's total profits in that city?

-The total profit expression is a binomial. -The total profit expression is quadratic. -The total profit expression has four terms.
-The total profit expression is a polynomial.
-The total profit expression has a constant term.

The total profit is a binomial

The total profit expression is a polynomial.

-The total profit expression has a constant term.​

Step-by-step explanation:

Given the profits from one theater represented by the expression

t^3 - t^2 + 2t - 100,

The profits from the second theate is represented by the expression

t^2 - 2t - 300.

Adding both profit functions

Total profit = t^3 - t^2 + 2t - 100+(t^2 - 2t - 300)

Collect the like terms

Total profit = t³-t²+t²+2t-2t-100-300

Total profit = t³+0+0-400

Total profit = t³-400

The total profit contains two terms (t³ and -400) where -400 is the constant term.

Since the highest degree is 3, this shows that the total profit expression is a polynomial.

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step-by-step explanation: