Select the correct answer from each drop-down menu. Simplify the following polynomial expression.

(3x^2 - x - 7) - (5x^2 - 4x - 2) + (x + 3)(x + 2)
The polynomial simplifies to an expression that is a with a degree of

first blank:
Constant
Linear
Quadratic

Second blank:
Binomial
Trinomial
Monomial

Third blank:
0
1
2

Determine if the function below is continuous. a. continuous b. not continuous, 1 hole c. not continuous, > 2 holes d. not continuous, 2 holes

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?