Question

How many terms are in the polynomial 12h² - h¹2 + 22 - h⁸?
A) 3
B) 4
C) 5
D) 6

Answer 1

The polynomial 12h² - h¹² + 22 - h¸ contains B) 4 distinct terms when considering each variable expression and the constant individually.

Step-by-step explanation:

The question 'How many terms are in the polynomial 12h² - h¹² + 22 - h¸?' can be answered by identifying each distinct variable expression and constant in the polynomial.

First, we simplify the polynomial by combining like terms. However, in this case, each term has a different exponent, which means they are all distinct and cannot be combined. Thus, we simply count each term:

1. 12h² (a term with h squared),
2. - h¹² (a term with h to the power of 1 and 2, which is probably a typo and should be considered as h to the power of 2),
3. 22 (a constant term),
4. - h¸ (a term with h to the 8th power).

There are no other terms, as constants or different exponents do not allow us to combine them further. Thus, the answer is option B) 4 terms.