Polynomial Degree and End Behavior

What is the degree classification of this polynomial?
x²+4x-8

• binomial
• trinomial
• quadratic
• cubic

Is the leading coefficient positive or negative? Why?

• The leading coefficient is POSITIVE because the RIGHT SIDE goes UP.

• The leading coefficient is NEGATIVE because the RIGHT SIDE goes UP.

• The leading coefficient is POSITIVE because the RIGHT SIDE goes DOWN.

• The leading coefficient is NEGATIVE because the RIGHT SIDE goes DOWN.

• Rises to the right, falls to the left

• Falls to the right, rises to the left

• Rises to the right, rises to the left

• Falls to the right, falls to the left

Describe the end behavior by the degree and leading coefficient.

• The function has an even degree and a positive leading coefficient.

• The function has an even degree and a negative leading coefficient.

• The function has an odd degree and a positive leading coefficient.

• The function has an odd degree and a negative leading coefficient.

Simplify (5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

What is the end behavior of this polynomial?

• 2

• 3

• 4

• 5

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative real number

• a positive real number

• an odd real number

• an even real number

The end behavior can be written as: x→∞, y→? and as x→−∞, y→?

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x