Write the indicated polynomial expression: 1. The total number of students at Mathville High School can be expressed as 7x^2+8x-16. If the number of male students at Mathville High is 3x^2+14, then write the polynomial expression that would represent the number of female students.

2. An amusement park sold x^2-9x+11 adult tickets and 2x^2+4x-5 children's tickets. Write a polynomial expression that represents the total number of tickets sold.

3. A taxi traveled x^2+8x-13 miles on Monday and x^2+10 miles on Tuesday. If the total miles traveled by the taxi on Monday through Wednesday was 2x^2+20x+19, then write a polynomial expression that represents the number of miles the taxi traveled on Wednesday.
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Answers below

Step-by-step explanation:

1. The first expression tells the total number of students as well as the male students.  This means you only have to subtract to find the female number

7x^2+8x-16-(3x^2+14); Simplify

4x^2+8x-30, if you wanted it factored then if would be this;

2(2x^2+4x-15).

2. For this one you add the polynomials.

x^2-9x+11+2x^2+4x-5; Simplify

3x^2-5x+6

3. Ok, for this one you have the number of miles traveled on Monday and Tuesday ( x^2+8x-13+(x^2+10)) and the total numbers traveled from Mon.-Wed (2x^2+20x+19).  So, you first need to add Monday and Tuesday and then subtract that amount from the total of miles on Mon.-Wed.

( x^2+8x-13+(x^2+10))

=2x^2+8x-3

2x^2+20x+19-(2x^2+8x-3)

=12x+21, or if you wanted it factored;

3(4x+7)

b. is true. hope this . happy