1. A polynomial means it has more than one term.
a. has 4 terms
b. has 1 term (not a POLYnomial)
c. has 3 terms
d. has 2 terms
2. The first word in a polynomial description tells the degree (max amount of exponents) of the expression, and the second word tells how many terms it has.
a. This answer means it's maxed exponent is to the fourth power, which it's not. (WRONG)
b. This answer means that it has a max exponent to the third power, which is true, and it also says it has three terms, which is also true. (CORRECT)
3. You must combine like terms in this polynomial.
=> 14x^2 - 6x^2 =8x^2
=> 5x + 2x = 7x
=> -8
d. This answer combines all the terms correctly.
4. To simplify this equation, you must first distribute the negative to all of the second equation.
(4x^2 -3x+2) + (-2x^2-5x+7)
Now, combine like terms.
=>4x^2 - 2x^2 = 2x^2
=>-3x - 5x = -8x
=>2 + 7 = 9
d. This answer simplifies it correctly