Question

One of the factory’s profits over time can be modeled with the polynomial p(x)=2x6+123.5x4+389x2−25x5−304.75x3−237.25x+53.5.

A: What is the leading coefficient of this polynomial?

B: What is the degree of this polynomial?

Select one answer for question A, and select one answer for question B.

B: The degree is 2.
A: The leading coefficient is −25.
A: The leading coefficient is 53.5.
B: The degree is 4.
B: The degree is 3.
A: The leading coefficient is −304.75.
A: The leading coefficient is −237.25.
A: The leading coefficient is 2.
A: The leading coefficient is 123.5.
A: The leading coefficient is 389.
B: The degree is 1.
B: The degree is 6.
B: The degree is 5.

Answer 1

p(x)=2x^6+123.5x^4+389x^2−25x^5−304.75x^3−237.25x+53.5

put in decreasing order

p(x)=2x^6−25x^5+123.5x^4−304.75x^3+389x^2−237.25x+53.5.

the leading coefficient is the number in front of the largest exponent

leading coefficient:2

degree is the power on the largest exponent

degree:6