Question

What is the degree of the polynomial -5x² + x - 11x + 1, and describe the end behavior of the graph?

A) Degree: 3; The graph rises on the left and rises on the right.
B) Degree: 4; The graph rises on the left and falls on the right.
C) Degree: 2; The graph falls on the left and falls on the right.
D) Degree: 5; The graph falls on the left and rises on the right

Answer 1

The degree of the polynomial is 2 and the graph falls on the left and falls on the right. Option C is correct.

Step-by-step explanation:

The degree of the polynomial -5x² + x - 11x + 1 is determined by the highest exponent in the polynomial. In this case, the exponent which is highest is 2, so the degree of polynomial will be 2. Therefore, the correct answer is C) Degree: 2; The graph falls on the left and falls on the right.

The end behavior of the graph can be determined by looking at the leading term of the polynomial, which is the term with the highest power of x. In this case, the leading term is -5x².

When the coefficient of the leading term is negative, the graph of the polynomial falls on both the left and right sides. So the correct answer is C) The graph falls on the left and falls on the right.