Answer:
1. 3x⁴ - x³ + 3x² + 2
Leading Coefficient: 3
Degree: 4
Number of Terms: 4
Name: Quartic
2. -3x² + x + 14
Leading Coefficient: -3
Degree: 2
Number of Terms: 3
Name: Quadratic
3. 3x⁵ + x³ + 2x - 3
Leading Coefficient: 3
Degree: 5
Number of Terms: 4
Name: Quintic
4. 6x + 22
Leading Coefficient: 6
Degree: 1
Number of Terms: 2
Name: Linear
5. -3x² + x
6. -3x³ - 11x² + 7x
7. -10x² + 3x + 7
8. 124112 = C(x); the total cost of all units on 50\unit
Explanation:
For exercises 1 to 4, in Standard Form, you start with the LARGEST degree term, then come down all the way to the lowest degree term or y-intercept like.
For exercises 5 to 7, it is straightforward Subtraction\Addition throughout. Just remember to subtract\add their like-terms [same degree (or exponent)]. Now, the only exception to this is about exercise 6, and in this exercise, -7x does not have a like-term to pair up with, however, IT IS HOOKED UP TO ANOTHER NEGATIVE, so that -7x is REALLY a 7x [you must distribute that negative to avoid confusion].
For exercise 8, just plug in 50 for every x in the equation to get 124112 for the total cost on 50\unit.
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