Question

If a numerator has the following equation:s⁴ +6s²+2

What are the num coefficients?
a) [1, 0, 6, 0, 2]
b) [1, 6, 2]
c) [0, 6, 0]
d) [1, 0, 2]

Answer 1

The coefficients of the polynomial s^4 + 6s^2 + 2 are given in descending order of powers of s, including for missing terms, yielding the correct answer [1, 0, 6, 0, 2].

Step-by-step explanation:

The student has asked about the coefficients of a polynomial expression given by s^4 + 6s^2 + 2. Coefficients are numbers in front of variables in an algebraic expression that indicate how many multiples of that variable there are.

The complete expression with all potential degrees of s down to the constant term (s^0) should show: s^4 (coefficient 1), s^3 (coefficient 0 since s^3 is not present), s^2 (coefficient 6), s^1 (coefficient 0 since s is not present), and the constant term (coefficient 2). Therefore, the correct answer is option a) [1, 0, 6, 0, 2].